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Finding the Fourth Proportional to 16,029.50, 24,044.24 and 4,342.41

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Solution

The fourth proportional to 16,029.50, 24,044.24 and 4,342.41 is: 6,513.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,029.50 : 24,044.24 = 4,342.41 : x
  2. Step 2: Convert to fraction form
    16,029.50/24,044.24 = 4,342.41/x
  3. Step 3: Cross multiply
    16,029.50x = 24,044.24 × 4,342.41
  4. Step 4: Simplify right side
    16,029.50x = 104,409,959.07
  5. Step 5: Solve for x
    x = 104,409,959.07/16,029.50
  6. Step 6: Final answer
    x = 6,513.62

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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.