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Finding the Fourth Proportional to 20,973.53, 31,471.29 and 8,494.88

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Solution

The fourth proportional to 20,973.53, 31,471.29 and 8,494.88 is: 12,746.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,973.53 : 31,471.29 = 8,494.88 : x
  2. Step 2: Convert to fraction form
    20,973.53/31,471.29 = 8,494.88/x
  3. Step 3: Cross multiply
    20,973.53x = 31,471.29 × 8,494.88
  4. Step 4: Simplify right side
    20,973.53x = 267,344,832.00
  5. Step 5: Solve for x
    x = 267,344,832.00/20,973.53
  6. Step 6: Final answer
    x = 12,746.77

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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.