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Finding the Fourth Proportional to 17,715.93, 24,447.38 and 9,758.13

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Solution

The fourth proportional to 17,715.93, 24,447.38 and 9,758.13 is: 13,465.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,715.93 : 24,447.38 = 9,758.13 : x
  2. Step 2: Convert to fraction form
    17,715.93/24,447.38 = 9,758.13/x
  3. Step 3: Cross multiply
    17,715.93x = 24,447.38 × 9,758.13
  4. Step 4: Simplify right side
    17,715.93x = 238,560,663.41
  5. Step 5: Solve for x
    x = 238,560,663.41/17,715.93
  6. Step 6: Final answer
    x = 13,465.88

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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.