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Finding the Fourth Proportional to 17,726.76, 26,590.11 and 8,233.88

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Solution

The fourth proportional to 17,726.76, 26,590.11 and 8,233.88 is: 12,350.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,726.76 : 26,590.11 = 8,233.88 : x
  2. Step 2: Convert to fraction form
    17,726.76/26,590.11 = 8,233.88/x
  3. Step 3: Cross multiply
    17,726.76x = 26,590.11 × 8,233.88
  4. Step 4: Simplify right side
    17,726.76x = 218,939,810.53
  5. Step 5: Solve for x
    x = 218,939,810.53/17,726.76
  6. Step 6: Final answer
    x = 12,350.81

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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.