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Finding the Fourth Proportional to 20,988.96, 31,475.04 and 9,294.24

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Solution

The fourth proportional to 20,988.96, 31,475.04 and 9,294.24 is: 13,937.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,988.96 : 31,475.04 = 9,294.24 : x
  2. Step 2: Convert to fraction form
    20,988.96/31,475.04 = 9,294.24/x
  3. Step 3: Cross multiply
    20,988.96x = 31,475.04 × 9,294.24
  4. Step 4: Simplify right side
    20,988.96x = 292,536,575.77
  5. Step 5: Solve for x
    x = 292,536,575.77/20,988.96
  6. Step 6: Final answer
    x = 13,937.64

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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.