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Finding the Fourth Proportional to 22,958.43, 31,678.88 and 13,525.71

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Solution

The fourth proportional to 22,958.43, 31,678.88 and 13,525.71 is: 18,663.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,958.43 : 31,678.88 = 13,525.71 : x
  2. Step 2: Convert to fraction form
    22,958.43/31,678.88 = 13,525.71/x
  3. Step 3: Cross multiply
    22,958.43x = 31,678.88 × 13,525.71
  4. Step 4: Simplify right side
    22,958.43x = 428,479,276.38
  5. Step 5: Solve for x
    x = 428,479,276.38/22,958.43
  6. Step 6: Final answer
    x = 18,663.27

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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.