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Finding the Fourth Proportional to 15,865.32, 23,796.60 and 6,502.66

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Solution

The fourth proportional to 15,865.32, 23,796.60 and 6,502.66 is: 9,753.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,865.32 : 23,796.60 = 6,502.66 : x
  2. Step 2: Convert to fraction form
    15,865.32/23,796.60 = 6,502.66/x
  3. Step 3: Cross multiply
    15,865.32x = 23,796.60 × 6,502.66
  4. Step 4: Simplify right side
    15,865.32x = 154,741,198.96
  5. Step 5: Solve for x
    x = 154,741,198.96/15,865.32
  6. Step 6: Final answer
    x = 9,753.42

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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.