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Finding the Fourth Proportional to 12,799.42, 17,662.93 and 7,134.14

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Solution

The fourth proportional to 12,799.42, 17,662.93 and 7,134.14 is: 9,844.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,799.42 : 17,662.93 = 7,134.14 : x
  2. Step 2: Convert to fraction form
    12,799.42/17,662.93 = 7,134.14/x
  3. Step 3: Cross multiply
    12,799.42x = 17,662.93 × 7,134.14
  4. Step 4: Simplify right side
    12,799.42x = 126,009,890.58
  5. Step 5: Solve for x
    x = 126,009,890.58/12,799.42
  6. Step 6: Final answer
    x = 9,844.97

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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.