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Finding the Fourth Proportional to 12,527.44, 17,286.61 and 7,490.65

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Solution

The fourth proportional to 12,527.44, 17,286.61 and 7,490.65 is: 10,336.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,527.44 : 17,286.61 = 7,490.65 : x
  2. Step 2: Convert to fraction form
    12,527.44/17,286.61 = 7,490.65/x
  3. Step 3: Cross multiply
    12,527.44x = 17,286.61 × 7,490.65
  4. Step 4: Simplify right side
    12,527.44x = 129,487,945.20
  5. Step 5: Solve for x
    x = 129,487,945.20/12,527.44
  6. Step 6: Final answer
    x = 10,336.35

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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.