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Finding the Fourth Proportional to 15,695.65, 23,540.86 and 5,165.79

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Solution

The fourth proportional to 15,695.65, 23,540.86 and 5,165.79 is: 7,747.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,695.65 : 23,540.86 = 5,165.79 : x
  2. Step 2: Convert to fraction form
    15,695.65/23,540.86 = 5,165.79/x
  3. Step 3: Cross multiply
    15,695.65x = 23,540.86 × 5,165.79
  4. Step 4: Simplify right side
    15,695.65x = 121,607,057.36
  5. Step 5: Solve for x
    x = 121,607,057.36/15,695.65
  6. Step 6: Final answer
    x = 7,747.82

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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.