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Finding the Fourth Proportional to 22,757.06, 34,112.64 and 9,411.63

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Solution

The fourth proportional to 22,757.06, 34,112.64 and 9,411.63 is: 14,107.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,757.06 : 34,112.64 = 9,411.63 : x
  2. Step 2: Convert to fraction form
    22,757.06/34,112.64 = 9,411.63/x
  3. Step 3: Cross multiply
    22,757.06x = 34,112.64 × 9,411.63
  4. Step 4: Simplify right side
    22,757.06x = 321,055,673.93
  5. Step 5: Solve for x
    x = 321,055,673.93/22,757.06
  6. Step 6: Final answer
    x = 14,107.96

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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.