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Finding the Fourth Proportional to 12,631.80, 17,431.04 and 6,966.20

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Solution

The fourth proportional to 12,631.80, 17,431.04 and 6,966.20 is: 9,612.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,631.80 : 17,431.04 = 6,966.20 : x
  2. Step 2: Convert to fraction form
    12,631.80/17,431.04 = 6,966.20/x
  3. Step 3: Cross multiply
    12,631.80x = 17,431.04 × 6,966.20
  4. Step 4: Simplify right side
    12,631.80x = 121,428,110.85
  5. Step 5: Solve for x
    x = 121,428,110.85/12,631.80
  6. Step 6: Final answer
    x = 9,612.89

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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.