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Finding the Fourth Proportional to 23,278.86, 34,915.86 and 13,792.14

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Solution

The fourth proportional to 23,278.86, 34,915.86 and 13,792.14 is: 20,686.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,278.86 : 34,915.86 = 13,792.14 : x
  2. Step 2: Convert to fraction form
    23,278.86/34,915.86 = 13,792.14/x
  3. Step 3: Cross multiply
    23,278.86x = 34,915.86 × 13,792.14
  4. Step 4: Simplify right side
    23,278.86x = 481,564,429.34
  5. Step 5: Solve for x
    x = 481,564,429.34/23,278.86
  6. Step 6: Final answer
    x = 20,686.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.