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Finding the Fourth Proportional to 21,565.47, 32,331.78 and 6,765.86

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Solution

The fourth proportional to 21,565.47, 32,331.78 and 6,765.86 is: 10,143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,565.47 : 32,331.78 = 6,765.86 : x
  2. Step 2: Convert to fraction form
    21,565.47/32,331.78 = 6,765.86/x
  3. Step 3: Cross multiply
    21,565.47x = 32,331.78 × 6,765.86
  4. Step 4: Simplify right side
    21,565.47x = 218,752,101.54
  5. Step 5: Solve for x
    x = 218,752,101.54/21,565.47
  6. Step 6: Final answer
    x = 10,143.63

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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.