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Finding the Fourth Proportional to 23,792.55, 32,823.27 and 14,227.17

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Solution

The fourth proportional to 23,792.55, 32,823.27 and 14,227.17 is: 19,627.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,792.55 : 32,823.27 = 14,227.17 : x
  2. Step 2: Convert to fraction form
    23,792.55/32,823.27 = 14,227.17/x
  3. Step 3: Cross multiply
    23,792.55x = 32,823.27 × 14,227.17
  4. Step 4: Simplify right side
    23,792.55x = 466,982,242.25
  5. Step 5: Solve for x
    x = 466,982,242.25/23,792.55
  6. Step 6: Final answer
    x = 19,627.25

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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.