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Finding the Fourth Proportional to 13,432.57, 18,535.67 and 7,766.85

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Solution

The fourth proportional to 13,432.57, 18,535.67 and 7,766.85 is: 10,717.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,432.57 : 18,535.67 = 7,766.85 : x
  2. Step 2: Convert to fraction form
    13,432.57/18,535.67 = 7,766.85/x
  3. Step 3: Cross multiply
    13,432.57x = 18,535.67 × 7,766.85
  4. Step 4: Simplify right side
    13,432.57x = 143,963,828.34
  5. Step 5: Solve for x
    x = 143,963,828.34/13,432.57
  6. Step 6: Final answer
    x = 10,717.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.