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Finding the Fourth Proportional to 17,466, 24,103.80 and 10,014

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Solution

The fourth proportional to 17,466, 24,103.80 and 10,014 is: 13,819.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,466 : 24,103.80 = 10,014 : x
  2. Step 2: Convert to fraction form
    17,466/24,103.80 = 10,014/x
  3. Step 3: Cross multiply
    17,466x = 24,103.80 × 10,014
  4. Step 4: Simplify right side
    17,466x = 241,375,453.20
  5. Step 5: Solve for x
    x = 241,375,453.20/17,466
  6. Step 6: Final answer
    x = 13,819.73

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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.