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Finding the Fourth Proportional to 22,517.84, 33,777.45 and 7,726.55

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Solution

The fourth proportional to 22,517.84, 33,777.45 and 7,726.55 is: 11,590.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,517.84 : 33,777.45 = 7,726.55 : x
  2. Step 2: Convert to fraction form
    22,517.84/33,777.45 = 7,726.55/x
  3. Step 3: Cross multiply
    22,517.84x = 33,777.45 × 7,726.55
  4. Step 4: Simplify right side
    22,517.84x = 260,983,156.30
  5. Step 5: Solve for x
    x = 260,983,156.30/22,517.84
  6. Step 6: Final answer
    x = 11,590.06

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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.