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Finding the Fourth Proportional to 17,780.77, 24,537.41 and 10,228.55

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Solution

The fourth proportional to 17,780.77, 24,537.41 and 10,228.55 is: 14,115.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,780.77 : 24,537.41 = 10,228.55 : x
  2. Step 2: Convert to fraction form
    17,780.77/24,537.41 = 10,228.55/x
  3. Step 3: Cross multiply
    17,780.77x = 24,537.41 × 10,228.55
  4. Step 4: Simplify right side
    17,780.77x = 250,982,073.91
  5. Step 5: Solve for x
    x = 250,982,073.91/17,780.77
  6. Step 6: Final answer
    x = 14,115.37

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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.