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Finding the Fourth Proportional to 16,154.88, 24,239.40 and 7,841.28

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Solution

The fourth proportional to 16,154.88, 24,239.40 and 7,841.28 is: 11,765.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,154.88 : 24,239.40 = 7,841.28 : x
  2. Step 2: Convert to fraction form
    16,154.88/24,239.40 = 7,841.28/x
  3. Step 3: Cross multiply
    16,154.88x = 24,239.40 × 7,841.28
  4. Step 4: Simplify right side
    16,154.88x = 190,067,922.43
  5. Step 5: Solve for x
    x = 190,067,922.43/16,154.88
  6. Step 6: Final answer
    x = 11,765.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.