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Finding the Fourth Proportional to 24,223.57, 33,428.05 and 14,792.13

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Solution

The fourth proportional to 24,223.57, 33,428.05 and 14,792.13 is: 20,412.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,223.57 : 33,428.05 = 14,792.13 : x
  2. Step 2: Convert to fraction form
    24,223.57/33,428.05 = 14,792.13/x
  3. Step 3: Cross multiply
    24,223.57x = 33,428.05 × 14,792.13
  4. Step 4: Simplify right side
    24,223.57x = 494,472,061.25
  5. Step 5: Solve for x
    x = 494,472,061.25/24,223.57
  6. Step 6: Final answer
    x = 20,412.85

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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.