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Finding the Fourth Proportional to 22,807.34, 34,204.53 and 14,474.78

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Solution

The fourth proportional to 22,807.34, 34,204.53 and 14,474.78 is: 21,708.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,807.34 : 34,204.53 = 14,474.78 : x
  2. Step 2: Convert to fraction form
    22,807.34/34,204.53 = 14,474.78/x
  3. Step 3: Cross multiply
    22,807.34x = 34,204.53 × 14,474.78
  4. Step 4: Simplify right side
    22,807.34x = 495,103,046.75
  5. Step 5: Solve for x
    x = 495,103,046.75/22,807.34
  6. Step 6: Final answer
    x = 21,708.06

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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.