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Finding the Fourth Proportional to 20,972.32, 31,456.08 and 9,123.64

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Solution

The fourth proportional to 20,972.32, 31,456.08 and 9,123.64 is: 13,684.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,972.32 : 31,456.08 = 9,123.64 : x
  2. Step 2: Convert to fraction form
    20,972.32/31,456.08 = 9,123.64/x
  3. Step 3: Cross multiply
    20,972.32x = 31,456.08 × 9,123.64
  4. Step 4: Simplify right side
    20,972.32x = 286,993,949.73
  5. Step 5: Solve for x
    x = 286,993,949.73/20,972.32
  6. Step 6: Final answer
    x = 13,684.42

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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.