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Finding the Fourth Proportional to 23,295.57, 34,948.82 and 7,713.20

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Solution

The fourth proportional to 23,295.57, 34,948.82 and 7,713.20 is: 11,571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,295.57 : 34,948.82 = 7,713.20 : x
  2. Step 2: Convert to fraction form
    23,295.57/34,948.82 = 7,713.20/x
  3. Step 3: Cross multiply
    23,295.57x = 34,948.82 × 7,713.20
  4. Step 4: Simplify right side
    23,295.57x = 269,567,025.11
  5. Step 5: Solve for x
    x = 269,567,025.11/23,295.57
  6. Step 6: Final answer
    x = 11,571.60

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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.