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Finding the Fourth Proportional to 23,242.28, 34,865.72 and 7,443.35

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Solution

The fourth proportional to 23,242.28, 34,865.72 and 7,443.35 is: 11,165.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,242.28 : 34,865.72 = 7,443.35 : x
  2. Step 2: Convert to fraction form
    23,242.28/34,865.72 = 7,443.35/x
  3. Step 3: Cross multiply
    23,242.28x = 34,865.72 × 7,443.35
  4. Step 4: Simplify right side
    23,242.28x = 259,517,545.42
  5. Step 5: Solve for x
    x = 259,517,545.42/23,242.28
  6. Step 6: Final answer
    x = 11,165.75

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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.