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Finding the Fourth Proportional to 15,686.31, 23,523.21 and 6,915

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Solution

The fourth proportional to 15,686.31, 23,523.21 and 6,915 is: 10,369.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,686.31 : 23,523.21 = 6,915 : x
  2. Step 2: Convert to fraction form
    15,686.31/23,523.21 = 6,915/x
  3. Step 3: Cross multiply
    15,686.31x = 23,523.21 × 6,915
  4. Step 4: Simplify right side
    15,686.31x = 162,662,997.15
  5. Step 5: Solve for x
    x = 162,662,997.15/15,686.31
  6. Step 6: Final answer
    x = 10,369.74

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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.