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Finding the Fourth Proportional to 22,720.16, 31,358.21 and 13,772.57

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Solution

The fourth proportional to 22,720.16, 31,358.21 and 13,772.57 is: 19,008.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,720.16 : 31,358.21 = 13,772.57 : x
  2. Step 2: Convert to fraction form
    22,720.16/31,358.21 = 13,772.57/x
  3. Step 3: Cross multiply
    22,720.16x = 31,358.21 × 13,772.57
  4. Step 4: Simplify right side
    22,720.16x = 431,882,916.65
  5. Step 5: Solve for x
    x = 431,882,916.65/22,720.16
  6. Step 6: Final answer
    x = 19,008.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.