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Finding the Fourth Proportional to 20,972.64, 31,446.72 and 8,498.64

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Solution

The fourth proportional to 20,972.64, 31,446.72 and 8,498.64 is: 12,743.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,972.64 : 31,446.72 = 8,498.64 : x
  2. Step 2: Convert to fraction form
    20,972.64/31,446.72 = 8,498.64/x
  3. Step 3: Cross multiply
    20,972.64x = 31,446.72 × 8,498.64
  4. Step 4: Simplify right side
    20,972.64x = 267,254,352.46
  5. Step 5: Solve for x
    x = 267,254,352.46/20,972.64
  6. Step 6: Final answer
    x = 12,743.00

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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.