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Finding the Fourth Proportional to 23,115.50, 31,899.20 and 12,505.16

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Solution

The fourth proportional to 23,115.50, 31,899.20 and 12,505.16 is: 17,257.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,115.50 : 31,899.20 = 12,505.16 : x
  2. Step 2: Convert to fraction form
    23,115.50/31,899.20 = 12,505.16/x
  3. Step 3: Cross multiply
    23,115.50x = 31,899.20 × 12,505.16
  4. Step 4: Simplify right side
    23,115.50x = 398,904,599.87
  5. Step 5: Solve for x
    x = 398,904,599.87/23,115.50
  6. Step 6: Final answer
    x = 17,257.02

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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.