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Finding the Fourth Proportional to 20,737.80, 31,106.82 and 5,155.43

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Solution

The fourth proportional to 20,737.80, 31,106.82 and 5,155.43 is: 7,733.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,737.80 : 31,106.82 = 5,155.43 : x
  2. Step 2: Convert to fraction form
    20,737.80/31,106.82 = 5,155.43/x
  3. Step 3: Cross multiply
    20,737.80x = 31,106.82 × 5,155.43
  4. Step 4: Simplify right side
    20,737.80x = 160,368,858.17
  5. Step 5: Solve for x
    x = 160,368,858.17/20,737.80
  6. Step 6: Final answer
    x = 7,733.17

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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.