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Finding the Fourth Proportional to 20,981.66, 31,465.80 and 8,504.82

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Solution

The fourth proportional to 20,981.66, 31,465.80 and 8,504.82 is: 12,754.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,981.66 : 31,465.80 = 8,504.82 : x
  2. Step 2: Convert to fraction form
    20,981.66/31,465.80 = 8,504.82/x
  3. Step 3: Cross multiply
    20,981.66x = 31,465.80 × 8,504.82
  4. Step 4: Simplify right side
    20,981.66x = 267,610,965.16
  5. Step 5: Solve for x
    x = 267,610,965.16/20,981.66
  6. Step 6: Final answer
    x = 12,754.52

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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.