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Finding the Fourth Proportional to 15,745.90, 23,612.14 and 6,387.96

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Solution

The fourth proportional to 15,745.90, 23,612.14 and 6,387.96 is: 9,579.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,745.90 : 23,612.14 = 6,387.96 : x
  2. Step 2: Convert to fraction form
    15,745.90/23,612.14 = 6,387.96/x
  3. Step 3: Cross multiply
    15,745.90x = 23,612.14 × 6,387.96
  4. Step 4: Simplify right side
    15,745.90x = 150,833,405.83
  5. Step 5: Solve for x
    x = 150,833,405.83/15,745.90
  6. Step 6: Final answer
    x = 9,579.22

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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.