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Finding the Fourth Proportional to 18,186.96, 25,097.12 and 10,229.94

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Solution

The fourth proportional to 18,186.96, 25,097.12 and 10,229.94 is: 14,116.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,186.96 : 25,097.12 = 10,229.94 : x
  2. Step 2: Convert to fraction form
    18,186.96/25,097.12 = 10,229.94/x
  3. Step 3: Cross multiply
    18,186.96x = 25,097.12 × 10,229.94
  4. Step 4: Simplify right side
    18,186.96x = 256,742,031.77
  5. Step 5: Solve for x
    x = 256,742,031.77/18,186.96
  6. Step 6: Final answer
    x = 14,116.82

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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.