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Finding the Fourth Proportional to 15,714.96, 23,567.46 and 5,324.28

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Solution

The fourth proportional to 15,714.96, 23,567.46 and 5,324.28 is: 7,984.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.96 : 23,567.46 = 5,324.28 : x
  2. Step 2: Convert to fraction form
    15,714.96/23,567.46 = 5,324.28/x
  3. Step 3: Cross multiply
    15,714.96x = 23,567.46 × 5,324.28
  4. Step 4: Simplify right side
    15,714.96x = 125,479,755.93
  5. Step 5: Solve for x
    x = 125,479,755.93/15,714.96
  6. Step 6: Final answer
    x = 7,984.73

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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.