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Finding the Fourth Proportional to 21,540.64, 32,319.20 and 8,402.17

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Solution

The fourth proportional to 21,540.64, 32,319.20 and 8,402.17 is: 12,606.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,540.64 : 32,319.20 = 8,402.17 : x
  2. Step 2: Convert to fraction form
    21,540.64/32,319.20 = 8,402.17/x
  3. Step 3: Cross multiply
    21,540.64x = 32,319.20 × 8,402.17
  4. Step 4: Simplify right side
    21,540.64x = 271,551,412.66
  5. Step 5: Solve for x
    x = 271,551,412.66/21,540.64
  6. Step 6: Final answer
    x = 12,606.47

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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.