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Finding the Fourth Proportional to 20,542.91, 30,767.17 and 13,045.92

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Solution

The fourth proportional to 20,542.91, 30,767.17 and 13,045.92 is: 19,538.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,542.91 : 30,767.17 = 13,045.92 : x
  2. Step 2: Convert to fraction form
    20,542.91/30,767.17 = 13,045.92/x
  3. Step 3: Cross multiply
    20,542.91x = 30,767.17 × 13,045.92
  4. Step 4: Simplify right side
    20,542.91x = 401,386,038.45
  5. Step 5: Solve for x
    x = 401,386,038.45/20,542.91
  6. Step 6: Final answer
    x = 19,538.91

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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.