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Finding the Fourth Proportional to 16,843.41, 25,265.12 and 5,744.39

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Solution

The fourth proportional to 16,843.41, 25,265.12 and 5,744.39 is: 8,616.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,843.41 : 25,265.12 = 5,744.39 : x
  2. Step 2: Convert to fraction form
    16,843.41/25,265.12 = 5,744.39/x
  3. Step 3: Cross multiply
    16,843.41x = 25,265.12 × 5,744.39
  4. Step 4: Simplify right side
    16,843.41x = 145,132,547.63
  5. Step 5: Solve for x
    x = 145,132,547.63/16,843.41
  6. Step 6: Final answer
    x = 8,616.58

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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.