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Finding the Fourth Proportional to 20,565.69, 30,805.44 and 13,132.26

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Solution

The fourth proportional to 20,565.69, 30,805.44 and 13,132.26 is: 19,670.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,565.69 : 30,805.44 = 13,132.26 : x
  2. Step 2: Convert to fraction form
    20,565.69/30,805.44 = 13,132.26/x
  3. Step 3: Cross multiply
    20,565.69x = 30,805.44 × 13,132.26
  4. Step 4: Simplify right side
    20,565.69x = 404,545,047.49
  5. Step 5: Solve for x
    x = 404,545,047.49/20,565.69
  6. Step 6: Final answer
    x = 19,670.87

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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.