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Finding the Fourth Proportional to 17,726.68, 26,596.17 and 7,872.88

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Solution

The fourth proportional to 17,726.68, 26,596.17 and 7,872.88 is: 11,812.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,726.68 : 26,596.17 = 7,872.88 : x
  2. Step 2: Convert to fraction form
    17,726.68/26,596.17 = 7,872.88/x
  3. Step 3: Cross multiply
    17,726.68x = 26,596.17 × 7,872.88
  4. Step 4: Simplify right side
    17,726.68x = 209,388,454.87
  5. Step 5: Solve for x
    x = 209,388,454.87/17,726.68
  6. Step 6: Final answer
    x = 11,812.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.