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Finding the Fourth Proportional to 22,727.50, 31,370.04 and 13,775.38

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Solution

The fourth proportional to 22,727.50, 31,370.04 and 13,775.38 is: 19,013.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,727.50 : 31,370.04 = 13,775.38 : x
  2. Step 2: Convert to fraction form
    22,727.50/31,370.04 = 13,775.38/x
  3. Step 3: Cross multiply
    22,727.50x = 31,370.04 × 13,775.38
  4. Step 4: Simplify right side
    22,727.50x = 432,134,221.62
  5. Step 5: Solve for x
    x = 432,134,221.62/22,727.50
  6. Step 6: Final answer
    x = 19,013.72

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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.