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Finding the Fourth Proportional to 15,853.78, 23,780.64 and 4,760.44

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Solution

The fourth proportional to 15,853.78, 23,780.64 and 4,760.44 is: 7,140.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,853.78 : 23,780.64 = 4,760.44 : x
  2. Step 2: Convert to fraction form
    15,853.78/23,780.64 = 4,760.44/x
  3. Step 3: Cross multiply
    15,853.78x = 23,780.64 × 4,760.44
  4. Step 4: Simplify right side
    15,853.78x = 113,206,309.88
  5. Step 5: Solve for x
    x = 113,206,309.88/15,853.78
  6. Step 6: Final answer
    x = 7,140.65

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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.