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Finding the Fourth Proportional to 21,460.38, 32,170.98 and 8,302.86

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Solution

The fourth proportional to 21,460.38, 32,170.98 and 8,302.86 is: 12,446.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,460.38 : 32,170.98 = 8,302.86 : x
  2. Step 2: Convert to fraction form
    21,460.38/32,170.98 = 8,302.86/x
  3. Step 3: Cross multiply
    21,460.38x = 32,170.98 × 8,302.86
  4. Step 4: Simplify right side
    21,460.38x = 267,111,143.00
  5. Step 5: Solve for x
    x = 267,111,143.00/21,460.38
  6. Step 6: Final answer
    x = 12,446.71

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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.