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Finding the Fourth Proportional to 17,681.11, 24,400.11 and 9,723.39

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Solution

The fourth proportional to 17,681.11, 24,400.11 and 9,723.39 is: 13,418.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,681.11 : 24,400.11 = 9,723.39 : x
  2. Step 2: Convert to fraction form
    17,681.11/24,400.11 = 9,723.39/x
  3. Step 3: Cross multiply
    17,681.11x = 24,400.11 × 9,723.39
  4. Step 4: Simplify right side
    17,681.11x = 237,251,785.57
  5. Step 5: Solve for x
    x = 237,251,785.57/17,681.11
  6. Step 6: Final answer
    x = 13,418.38

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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.