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Finding the Fourth Proportional to 15,006.28, 22,496.66 and 9,167

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Solution

The fourth proportional to 15,006.28, 22,496.66 and 9,167 is: 13,742.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,006.28 : 22,496.66 = 9,167 : x
  2. Step 2: Convert to fraction form
    15,006.28/22,496.66 = 9,167/x
  3. Step 3: Cross multiply
    15,006.28x = 22,496.66 × 9,167
  4. Step 4: Simplify right side
    15,006.28x = 206,226,882.22
  5. Step 5: Solve for x
    x = 206,226,882.22/15,006.28
  6. Step 6: Final answer
    x = 13,742.71

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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.