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Finding the Fourth Proportional to 21,938.40, 32,909.40 and 6,143.52

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Solution

The fourth proportional to 21,938.40, 32,909.40 and 6,143.52 is: 9,215.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,938.40 : 32,909.40 = 6,143.52 : x
  2. Step 2: Convert to fraction form
    21,938.40/32,909.40 = 6,143.52/x
  3. Step 3: Cross multiply
    21,938.40x = 32,909.40 × 6,143.52
  4. Step 4: Simplify right side
    21,938.40x = 202,179,557.09
  5. Step 5: Solve for x
    x = 202,179,557.09/21,938.40
  6. Step 6: Final answer
    x = 9,215.78

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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.