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Finding the Fourth Proportional to 23,728.61, 35,592.86 and 9,695.22

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Solution

The fourth proportional to 23,728.61, 35,592.86 and 9,695.22 is: 14,542.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,728.61 : 35,592.86 = 9,695.22 : x
  2. Step 2: Convert to fraction form
    23,728.61/35,592.86 = 9,695.22/x
  3. Step 3: Cross multiply
    23,728.61x = 35,592.86 × 9,695.22
  4. Step 4: Simplify right side
    23,728.61x = 345,080,559.65
  5. Step 5: Solve for x
    x = 345,080,559.65/23,728.61
  6. Step 6: Final answer
    x = 14,542.81

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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.