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Finding the Fourth Proportional to 17,422.10, 24,038.48 and 9,867.38

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Solution

The fourth proportional to 17,422.10, 24,038.48 and 9,867.38 is: 13,614.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,422.10 : 24,038.48 = 9,867.38 : x
  2. Step 2: Convert to fraction form
    17,422.10/24,038.48 = 9,867.38/x
  3. Step 3: Cross multiply
    17,422.10x = 24,038.48 × 9,867.38
  4. Step 4: Simplify right side
    17,422.10x = 237,196,816.78
  5. Step 5: Solve for x
    x = 237,196,816.78/17,422.10
  6. Step 6: Final answer
    x = 13,614.71

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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.