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Finding the Fourth Proportional to 18,186.92, 25,097.70 and 10,229.15

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Solution

The fourth proportional to 18,186.92, 25,097.70 and 10,229.15 is: 14,116.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,186.92 : 25,097.70 = 10,229.15 : x
  2. Step 2: Convert to fraction form
    18,186.92/25,097.70 = 10,229.15/x
  3. Step 3: Cross multiply
    18,186.92x = 25,097.70 × 10,229.15
  4. Step 4: Simplify right side
    18,186.92x = 256,728,012.47
  5. Step 5: Solve for x
    x = 256,728,012.47/18,186.92
  6. Step 6: Final answer
    x = 14,116.08

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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.