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Finding the Fourth Proportional to 12,207.87, 18,279 and 10,042.74

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Solution

The fourth proportional to 12,207.87, 18,279 and 10,042.74 is: 15,037.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.87 : 18,279 = 10,042.74 : x
  2. Step 2: Convert to fraction form
    12,207.87/18,279 = 10,042.74/x
  3. Step 3: Cross multiply
    12,207.87x = 18,279 × 10,042.74
  4. Step 4: Simplify right side
    12,207.87x = 183,571,244.46
  5. Step 5: Solve for x
    x = 183,571,244.46/12,207.87
  6. Step 6: Final answer
    x = 15,037.12

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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.