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Finding the Fourth Proportional to 17,405.38, 24,019.45 and 9,447.61

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Solution

The fourth proportional to 17,405.38, 24,019.45 and 9,447.61 is: 13,037.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,405.38 : 24,019.45 = 9,447.61 : x
  2. Step 2: Convert to fraction form
    17,405.38/24,019.45 = 9,447.61/x
  3. Step 3: Cross multiply
    17,405.38x = 24,019.45 × 9,447.61
  4. Step 4: Simplify right side
    17,405.38x = 226,926,396.01
  5. Step 5: Solve for x
    x = 226,926,396.01/17,405.38
  6. Step 6: Final answer
    x = 13,037.72

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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.