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Finding the Fourth Proportional to 12,864.42, 17,751.65 and 7,198.83

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Solution

The fourth proportional to 12,864.42, 17,751.65 and 7,198.83 is: 9,933.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,864.42 : 17,751.65 = 7,198.83 : x
  2. Step 2: Convert to fraction form
    12,864.42/17,751.65 = 7,198.83/x
  3. Step 3: Cross multiply
    12,864.42x = 17,751.65 × 7,198.83
  4. Step 4: Simplify right side
    12,864.42x = 127,791,074.58
  5. Step 5: Solve for x
    x = 127,791,074.58/12,864.42
  6. Step 6: Final answer
    x = 9,933.68

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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.