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Finding the Fourth Proportional to 17,437.78, 24,062.65 and 9,882.38

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Solution

The fourth proportional to 17,437.78, 24,062.65 and 9,882.38 is: 13,636.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,437.78 : 24,062.65 = 9,882.38 : x
  2. Step 2: Convert to fraction form
    17,437.78/24,062.65 = 9,882.38/x
  3. Step 3: Cross multiply
    17,437.78x = 24,062.65 × 9,882.38
  4. Step 4: Simplify right side
    17,437.78x = 237,796,251.11
  5. Step 5: Solve for x
    x = 237,796,251.11/17,437.78
  6. Step 6: Final answer
    x = 13,636.84

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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.