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Finding the Fourth Proportional to 23,152.54, 34,737.14 and 9,104.78

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Solution

The fourth proportional to 23,152.54, 34,737.14 and 9,104.78 is: 13,660.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,152.54 : 34,737.14 = 9,104.78 : x
  2. Step 2: Convert to fraction form
    23,152.54/34,737.14 = 9,104.78/x
  3. Step 3: Cross multiply
    23,152.54x = 34,737.14 × 9,104.78
  4. Step 4: Simplify right side
    23,152.54x = 316,274,017.53
  5. Step 5: Solve for x
    x = 316,274,017.53/23,152.54
  6. Step 6: Final answer
    x = 13,660.45

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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.