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Finding the Fourth Proportional to 23,098.87, 31,876.43 and 12,488.50

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Solution

The fourth proportional to 23,098.87, 31,876.43 and 12,488.50 is: 17,234.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,098.87 : 31,876.43 = 12,488.50 : x
  2. Step 2: Convert to fraction form
    23,098.87/31,876.43 = 12,488.50/x
  3. Step 3: Cross multiply
    23,098.87x = 31,876.43 × 12,488.50
  4. Step 4: Simplify right side
    23,098.87x = 398,088,796.06
  5. Step 5: Solve for x
    x = 398,088,796.06/23,098.87
  6. Step 6: Final answer
    x = 17,234.12

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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.