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Finding the Fourth Proportional to 22,612.77, 31,203.27 and 13,049.43

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Solution

The fourth proportional to 22,612.77, 31,203.27 and 13,049.43 is: 18,006.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,612.77 : 31,203.27 = 13,049.43 : x
  2. Step 2: Convert to fraction form
    22,612.77/31,203.27 = 13,049.43/x
  3. Step 3: Cross multiply
    22,612.77x = 31,203.27 × 13,049.43
  4. Step 4: Simplify right side
    22,612.77x = 407,184,770.62
  5. Step 5: Solve for x
    x = 407,184,770.62/22,612.77
  6. Step 6: Final answer
    x = 18,006.85

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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.