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Finding the Fourth Proportional to 23,147.66, 34,718.74 and 6,049.42

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Solution

The fourth proportional to 23,147.66, 34,718.74 and 6,049.42 is: 9,073.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,147.66 : 34,718.74 = 6,049.42 : x
  2. Step 2: Convert to fraction form
    23,147.66/34,718.74 = 6,049.42/x
  3. Step 3: Cross multiply
    23,147.66x = 34,718.74 × 6,049.42
  4. Step 4: Simplify right side
    23,147.66x = 210,028,240.13
  5. Step 5: Solve for x
    x = 210,028,240.13/23,147.66
  6. Step 6: Final answer
    x = 9,073.41

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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.