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Finding the Fourth Proportional to 21,489.48, 32,242.32 and 8,342.64

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Solution

The fourth proportional to 21,489.48, 32,242.32 and 8,342.64 is: 12,517.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,489.48 : 32,242.32 = 8,342.64 : x
  2. Step 2: Convert to fraction form
    21,489.48/32,242.32 = 8,342.64/x
  3. Step 3: Cross multiply
    21,489.48x = 32,242.32 × 8,342.64
  4. Step 4: Simplify right side
    21,489.48x = 268,986,068.52
  5. Step 5: Solve for x
    x = 268,986,068.52/21,489.48
  6. Step 6: Final answer
    x = 12,517.10

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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.