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Finding the Fourth Proportional to 20,877.59, 31,304.68 and 9,023.96

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Solution

The fourth proportional to 20,877.59, 31,304.68 and 9,023.96 is: 13,530.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,877.59 : 31,304.68 = 9,023.96 : x
  2. Step 2: Convert to fraction form
    20,877.59/31,304.68 = 9,023.96/x
  3. Step 3: Cross multiply
    20,877.59x = 31,304.68 × 9,023.96
  4. Step 4: Simplify right side
    20,877.59x = 282,492,235.83
  5. Step 5: Solve for x
    x = 282,492,235.83/20,877.59
  6. Step 6: Final answer
    x = 13,530.88

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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.