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Finding the Fourth Proportional to 23,129.40, 34,694.10 and 13,287.90

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Solution

The fourth proportional to 23,129.40, 34,694.10 and 13,287.90 is: 19,931.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,129.40 : 34,694.10 = 13,287.90 : x
  2. Step 2: Convert to fraction form
    23,129.40/34,694.10 = 13,287.90/x
  3. Step 3: Cross multiply
    23,129.40x = 34,694.10 × 13,287.90
  4. Step 4: Simplify right side
    23,129.40x = 461,011,731.39
  5. Step 5: Solve for x
    x = 461,011,731.39/23,129.40
  6. Step 6: Final answer
    x = 19,931.85

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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.