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Finding the Fourth Proportional to 22,737.38, 31,379.70 and 13,305.94

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Solution

The fourth proportional to 22,737.38, 31,379.70 and 13,305.94 is: 18,363.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,737.38 : 31,379.70 = 13,305.94 : x
  2. Step 2: Convert to fraction form
    22,737.38/31,379.70 = 13,305.94/x
  3. Step 3: Cross multiply
    22,737.38x = 31,379.70 × 13,305.94
  4. Step 4: Simplify right side
    22,737.38x = 417,536,376.87
  5. Step 5: Solve for x
    x = 417,536,376.87/22,737.38
  6. Step 6: Final answer
    x = 18,363.44

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Why These Related Problems?

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