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Finding the Fourth Proportional to 22,590.81, 31,174.48 and 13,031.10

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Solution

The fourth proportional to 22,590.81, 31,174.48 and 13,031.10 is: 17,982.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,590.81 : 31,174.48 = 13,031.10 : x
  2. Step 2: Convert to fraction form
    22,590.81/31,174.48 = 13,031.10/x
  3. Step 3: Cross multiply
    22,590.81x = 31,174.48 × 13,031.10
  4. Step 4: Simplify right side
    22,590.81x = 406,237,766.33
  5. Step 5: Solve for x
    x = 406,237,766.33/22,590.81
  6. Step 6: Final answer
    x = 17,982.43

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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.