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Finding the Fourth Proportional to 17,294.76, 23,868.18 and 10,029.42

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Solution

The fourth proportional to 17,294.76, 23,868.18 and 10,029.42 is: 13,841.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,294.76 : 23,868.18 = 10,029.42 : x
  2. Step 2: Convert to fraction form
    17,294.76/23,868.18 = 10,029.42/x
  3. Step 3: Cross multiply
    17,294.76x = 23,868.18 × 10,029.42
  4. Step 4: Simplify right side
    17,294.76x = 239,384,001.86
  5. Step 5: Solve for x
    x = 239,384,001.86/17,294.76
  6. Step 6: Final answer
    x = 13,841.42

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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.