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Finding the Fourth Proportional to 15,714.52, 23,576.10 and 5,327.08

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Solution

The fourth proportional to 15,714.52, 23,576.10 and 5,327.08 is: 7,992.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.52 : 23,576.10 = 5,327.08 : x
  2. Step 2: Convert to fraction form
    15,714.52/23,576.10 = 5,327.08/x
  3. Step 3: Cross multiply
    15,714.52x = 23,576.10 × 5,327.08
  4. Step 4: Simplify right side
    15,714.52x = 125,591,770.79
  5. Step 5: Solve for x
    x = 125,591,770.79/15,714.52
  6. Step 6: Final answer
    x = 7,992.08

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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.