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Finding the Fourth Proportional to 21,402.56, 32,114.88 and 9,559.96

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Solution

The fourth proportional to 21,402.56, 32,114.88 and 9,559.96 is: 14,344.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,402.56 : 32,114.88 = 9,559.96 : x
  2. Step 2: Convert to fraction form
    21,402.56/32,114.88 = 9,559.96/x
  3. Step 3: Cross multiply
    21,402.56x = 32,114.88 × 9,559.96
  4. Step 4: Simplify right side
    21,402.56x = 307,016,887.92
  5. Step 5: Solve for x
    x = 307,016,887.92/21,402.56
  6. Step 6: Final answer
    x = 14,344.87

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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.