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Finding the Fourth Proportional to 15,714.24, 23,571.31 and 6,354.15

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Solution

The fourth proportional to 15,714.24, 23,571.31 and 6,354.15 is: 9,531.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,714.24 : 23,571.31 = 6,354.15 : x
  2. Step 2: Convert to fraction form
    15,714.24/23,571.31 = 6,354.15/x
  3. Step 3: Cross multiply
    15,714.24x = 23,571.31 × 6,354.15
  4. Step 4: Simplify right side
    15,714.24x = 149,775,639.44
  5. Step 5: Solve for x
    x = 149,775,639.44/15,714.24
  6. Step 6: Final answer
    x = 9,531.20

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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.