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Finding the Fourth Proportional to 15,882.24, 21,920.58 and 9,167.70

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Solution

The fourth proportional to 15,882.24, 21,920.58 and 9,167.70 is: 12,653.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,882.24 : 21,920.58 = 9,167.70 : x
  2. Step 2: Convert to fraction form
    15,882.24/21,920.58 = 9,167.70/x
  3. Step 3: Cross multiply
    15,882.24x = 21,920.58 × 9,167.70
  4. Step 4: Simplify right side
    15,882.24x = 200,961,301.27
  5. Step 5: Solve for x
    x = 200,961,301.27/15,882.24
  6. Step 6: Final answer
    x = 12,653.21

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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.