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Finding the Fourth Proportional to 16,043.65, 24,045.41 and 7,721.43

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Solution

The fourth proportional to 16,043.65, 24,045.41 and 7,721.43 is: 11,572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,043.65 : 24,045.41 = 7,721.43 : x
  2. Step 2: Convert to fraction form
    16,043.65/24,045.41 = 7,721.43/x
  3. Step 3: Cross multiply
    16,043.65x = 24,045.41 × 7,721.43
  4. Step 4: Simplify right side
    16,043.65x = 185,664,969.44
  5. Step 5: Solve for x
    x = 185,664,969.44/16,043.65
  6. Step 6: Final answer
    x = 11,572.49

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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.