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Finding the Fourth Proportional to 20,885.56, 31,309.14 and 9,031.92

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Solution

The fourth proportional to 20,885.56, 31,309.14 and 9,031.92 is: 13,539.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,885.56 : 31,309.14 = 9,031.92 : x
  2. Step 2: Convert to fraction form
    20,885.56/31,309.14 = 9,031.92/x
  3. Step 3: Cross multiply
    20,885.56x = 31,309.14 × 9,031.92
  4. Step 4: Simplify right side
    20,885.56x = 282,781,647.75
  5. Step 5: Solve for x
    x = 282,781,647.75/20,885.56
  6. Step 6: Final answer
    x = 13,539.58

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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.