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Finding the Fourth Proportional to 22,737.03, 31,377.13 and 13,178.77

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Solution

The fourth proportional to 22,737.03, 31,377.13 and 13,178.77 is: 18,186.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,737.03 : 31,377.13 = 13,178.77 : x
  2. Step 2: Convert to fraction form
    22,737.03/31,377.13 = 13,178.77/x
  3. Step 3: Cross multiply
    22,737.03x = 31,377.13 × 13,178.77
  4. Step 4: Simplify right side
    22,737.03x = 413,511,868.14
  5. Step 5: Solve for x
    x = 413,511,868.14/22,737.03
  6. Step 6: Final answer
    x = 18,186.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.