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Finding the Fourth Proportional to 21,654.12, 32,461.74 and 8,515.92

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Solution

The fourth proportional to 21,654.12, 32,461.74 and 8,515.92 is: 12,766.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,654.12 : 32,461.74 = 8,515.92 : x
  2. Step 2: Convert to fraction form
    21,654.12/32,461.74 = 8,515.92/x
  3. Step 3: Cross multiply
    21,654.12x = 32,461.74 × 8,515.92
  4. Step 4: Simplify right side
    21,654.12x = 276,441,580.90
  5. Step 5: Solve for x
    x = 276,441,580.90/21,654.12
  6. Step 6: Final answer
    x = 12,766.23

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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.