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Finding the Fourth Proportional to 17,478, 24,119.40 and 10,404.24

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Solution

The fourth proportional to 17,478, 24,119.40 and 10,404.24 is: 14,357.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,478 : 24,119.40 = 10,404.24 : x
  2. Step 2: Convert to fraction form
    17,478/24,119.40 = 10,404.24/x
  3. Step 3: Cross multiply
    17,478x = 24,119.40 × 10,404.24
  4. Step 4: Simplify right side
    17,478x = 250,944,026.26
  5. Step 5: Solve for x
    x = 250,944,026.26/17,478
  6. Step 6: Final answer
    x = 14,357.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.