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Finding the Fourth Proportional to 21,646.16, 32,487.68 and 8,507.72

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Solution

The fourth proportional to 21,646.16, 32,487.68 and 8,507.72 is: 12,768.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,646.16 : 32,487.68 = 8,507.72 : x
  2. Step 2: Convert to fraction form
    21,646.16/32,487.68 = 8,507.72/x
  3. Step 3: Cross multiply
    21,646.16x = 32,487.68 × 8,507.72
  4. Step 4: Simplify right side
    21,646.16x = 276,396,084.89
  5. Step 5: Solve for x
    x = 276,396,084.89/21,646.16
  6. Step 6: Final answer
    x = 12,768.83

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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.