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Finding the Fourth Proportional to 22,541.82, 31,107.42 and 12,469.50

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Solution

The fourth proportional to 22,541.82, 31,107.42 and 12,469.50 is: 17,207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,541.82 : 31,107.42 = 12,469.50 : x
  2. Step 2: Convert to fraction form
    22,541.82/31,107.42 = 12,469.50/x
  3. Step 3: Cross multiply
    22,541.82x = 31,107.42 × 12,469.50
  4. Step 4: Simplify right side
    22,541.82x = 387,893,973.69
  5. Step 5: Solve for x
    x = 387,893,973.69/22,541.82
  6. Step 6: Final answer
    x = 17,207.75

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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.