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Finding the Fourth Proportional to 12,631.80, 17,427 and 7,325.64

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Solution

The fourth proportional to 12,631.80, 17,427 and 7,325.64 is: 10,106.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,631.80 : 17,427 = 7,325.64 : x
  2. Step 2: Convert to fraction form
    12,631.80/17,427 = 7,325.64/x
  3. Step 3: Cross multiply
    12,631.80x = 17,427 × 7,325.64
  4. Step 4: Simplify right side
    12,631.80x = 127,663,928.28
  5. Step 5: Solve for x
    x = 127,663,928.28/12,631.80
  6. Step 6: Final answer
    x = 10,106.55

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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.