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Finding the Fourth Proportional to 21,613.56, 32,434.92 and 8,464.29

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Solution

The fourth proportional to 21,613.56, 32,434.92 and 8,464.29 is: 12,702.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,613.56 : 32,434.92 = 8,464.29 : x
  2. Step 2: Convert to fraction form
    21,613.56/32,434.92 = 8,464.29/x
  3. Step 3: Cross multiply
    21,613.56x = 32,434.92 × 8,464.29
  4. Step 4: Simplify right side
    21,613.56x = 274,538,569.01
  5. Step 5: Solve for x
    x = 274,538,569.01/21,613.56
  6. Step 6: Final answer
    x = 12,702.14

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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.