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Finding the Fourth Proportional to 12,532.66, 17,274.92 and 8,498.18

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Solution

The fourth proportional to 12,532.66, 17,274.92 and 8,498.18 is: 11,713.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.66 : 17,274.92 = 8,498.18 : x
  2. Step 2: Convert to fraction form
    12,532.66/17,274.92 = 8,498.18/x
  3. Step 3: Cross multiply
    12,532.66x = 17,274.92 × 8,498.18
  4. Step 4: Simplify right side
    12,532.66x = 146,805,379.65
  5. Step 5: Solve for x
    x = 146,805,379.65/12,532.66
  6. Step 6: Final answer
    x = 11,713.82

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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.