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Finding the Fourth Proportional to 16,083,959.20, 24,144,601.20 and 9,701,418.40

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Solution

The fourth proportional to 16,083,959.20, 24,144,601.20 and 9,701,418.40 is: 14,563,384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,083,959.20 : 24,144,601.20 = 9,701,418.40 : x
  2. Step 2: Convert to fraction form
    16,083,959.20/24,144,601.20 = 9,701,418.40/x
  3. Step 3: Cross multiply
    16,083,959.20x = 24,144,601.20 × 9,701,418.40
  4. Step 4: Simplify right side
    16,083,959.20x = 234,236,878,342,342.09
  5. Step 5: Solve for x
    x = 234,236,878,342,342.09/16,083,959.20
  6. Step 6: Final answer
    x = 14,563,384.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.