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Finding the Fourth Proportional to 12,824.59, 17,695.80 and 8,568.83

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Solution

The fourth proportional to 12,824.59, 17,695.80 and 8,568.83 is: 11,823.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,824.59 : 17,695.80 = 8,568.83 : x
  2. Step 2: Convert to fraction form
    12,824.59/17,695.80 = 8,568.83/x
  3. Step 3: Cross multiply
    12,824.59x = 17,695.80 × 8,568.83
  4. Step 4: Simplify right side
    12,824.59x = 151,632,301.91
  5. Step 5: Solve for x
    x = 151,632,301.91/12,824.59
  6. Step 6: Final answer
    x = 11,823.56

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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.