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Finding the Fourth Proportional to 21,691.31, 32,515.10 and 16,486.25

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Solution

The fourth proportional to 21,691.31, 32,515.10 and 16,486.25 is: 24,712.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,691.31 : 32,515.10 = 16,486.25 : x
  2. Step 2: Convert to fraction form
    21,691.31/32,515.10 = 16,486.25/x
  3. Step 3: Cross multiply
    21,691.31x = 32,515.10 × 16,486.25
  4. Step 4: Simplify right side
    21,691.31x = 536,051,984.94
  5. Step 5: Solve for x
    x = 536,051,984.94/21,691.31
  6. Step 6: Final answer
    x = 24,712.75

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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.