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Finding the Fourth Proportional to 17,678.38, 26,516.17 and 10,278.11

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Solution

The fourth proportional to 17,678.38, 26,516.17 and 10,278.11 is: 15,416.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,678.38 : 26,516.17 = 10,278.11 : x
  2. Step 2: Convert to fraction form
    17,678.38/26,516.17 = 10,278.11/x
  3. Step 3: Cross multiply
    17,678.38x = 26,516.17 × 10,278.11
  4. Step 4: Simplify right side
    17,678.38x = 272,536,112.04
  5. Step 5: Solve for x
    x = 272,536,112.04/17,678.38
  6. Step 6: Final answer
    x = 15,416.35

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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.