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Finding the Fourth Proportional to 22,755.77, 34,106.84 and 10,261.17

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Solution

The fourth proportional to 22,755.77, 34,106.84 and 10,261.17 is: 15,379.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,755.77 : 34,106.84 = 10,261.17 : x
  2. Step 2: Convert to fraction form
    22,755.77/34,106.84 = 10,261.17/x
  3. Step 3: Cross multiply
    22,755.77x = 34,106.84 × 10,261.17
  4. Step 4: Simplify right side
    22,755.77x = 349,975,861.56
  5. Step 5: Solve for x
    x = 349,975,861.56/22,755.77
  6. Step 6: Final answer
    x = 15,379.65

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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.