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Finding the Fourth Proportional to 13,248.75, 18,285.71 and 7,659.75

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Solution

The fourth proportional to 13,248.75, 18,285.71 and 7,659.75 is: 10,571.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,248.75 : 18,285.71 = 7,659.75 : x
  2. Step 2: Convert to fraction form
    13,248.75/18,285.71 = 7,659.75/x
  3. Step 3: Cross multiply
    13,248.75x = 18,285.71 × 7,659.75
  4. Step 4: Simplify right side
    13,248.75x = 140,063,967.17
  5. Step 5: Solve for x
    x = 140,063,967.17/13,248.75
  6. Step 6: Final answer
    x = 10,571.86

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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.