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Finding the Fourth Proportional to 12,825.59, 17,697.18 and 8,569.83

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Solution

The fourth proportional to 12,825.59, 17,697.18 and 8,569.83 is: 11,824.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825.59 : 17,697.18 = 8,569.83 : x
  2. Step 2: Convert to fraction form
    12,825.59/17,697.18 = 8,569.83/x
  3. Step 3: Cross multiply
    12,825.59x = 17,697.18 × 8,569.83
  4. Step 4: Simplify right side
    12,825.59x = 151,661,824.08
  5. Step 5: Solve for x
    x = 151,661,824.08/12,825.59
  6. Step 6: Final answer
    x = 11,824.94

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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.