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Finding the Fourth Proportional to 21,860.32, 32,781.43 and 6,862.42

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Solution

The fourth proportional to 21,860.32, 32,781.43 and 6,862.42 is: 10,290.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,860.32 : 32,781.43 = 6,862.42 : x
  2. Step 2: Convert to fraction form
    21,860.32/32,781.43 = 6,862.42/x
  3. Step 3: Cross multiply
    21,860.32x = 32,781.43 × 6,862.42
  4. Step 4: Simplify right side
    21,860.32x = 224,959,940.86
  5. Step 5: Solve for x
    x = 224,959,940.86/21,860.32
  6. Step 6: Final answer
    x = 10,290.79

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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.