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Finding the Fourth Proportional to 12,884.85, 17,777.04 and 7,218.83

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Solution

The fourth proportional to 12,884.85, 17,777.04 and 7,218.83 is: 9,959.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,884.85 : 17,777.04 = 7,218.83 : x
  2. Step 2: Convert to fraction form
    12,884.85/17,777.04 = 7,218.83/x
  3. Step 3: Cross multiply
    12,884.85x = 17,777.04 × 7,218.83
  4. Step 4: Simplify right side
    12,884.85x = 128,329,340.78
  5. Step 5: Solve for x
    x = 128,329,340.78/12,884.85
  6. Step 6: Final answer
    x = 9,959.71

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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.