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Finding the Fourth Proportional to 23,013.78, 31,770.87 and 13,585.38

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Solution

The fourth proportional to 23,013.78, 31,770.87 and 13,585.38 is: 18,754.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,013.78 : 31,770.87 = 13,585.38 : x
  2. Step 2: Convert to fraction form
    23,013.78/31,770.87 = 13,585.38/x
  3. Step 3: Cross multiply
    23,013.78x = 31,770.87 × 13,585.38
  4. Step 4: Simplify right side
    23,013.78x = 431,619,341.88
  5. Step 5: Solve for x
    x = 431,619,341.88/23,013.78
  6. Step 6: Final answer
    x = 18,754.82

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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.