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Finding the Fourth Proportional to 21,565.44, 32,348.16 and 6,774.71

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Solution

The fourth proportional to 21,565.44, 32,348.16 and 6,774.71 is: 10,162.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,565.44 : 32,348.16 = 6,774.71 : x
  2. Step 2: Convert to fraction form
    21,565.44/32,348.16 = 6,774.71/x
  3. Step 3: Cross multiply
    21,565.44x = 32,348.16 × 6,774.71
  4. Step 4: Simplify right side
    21,565.44x = 219,149,241.29
  5. Step 5: Solve for x
    x = 219,149,241.29/21,565.44
  6. Step 6: Final answer
    x = 10,162.06

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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.