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Finding the Fourth Proportional to 21,381.84, 32,079.24 and 9,691.92

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Solution

The fourth proportional to 21,381.84, 32,079.24 and 9,691.92 is: 14,540.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,381.84 : 32,079.24 = 9,691.92 : x
  2. Step 2: Convert to fraction form
    21,381.84/32,079.24 = 9,691.92/x
  3. Step 3: Cross multiply
    21,381.84x = 32,079.24 × 9,691.92
  4. Step 4: Simplify right side
    21,381.84x = 310,909,427.74
  5. Step 5: Solve for x
    x = 310,909,427.74/21,381.84
  6. Step 6: Final answer
    x = 14,540.82

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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.