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Finding the Fourth Proportional to 22,604.85, 31,209.27 and 14,542.11

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Solution

The fourth proportional to 22,604.85, 31,209.27 and 14,542.11 is: 20,077.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,604.85 : 31,209.27 = 14,542.11 : x
  2. Step 2: Convert to fraction form
    22,604.85/31,209.27 = 14,542.11/x
  3. Step 3: Cross multiply
    22,604.85x = 31,209.27 × 14,542.11
  4. Step 4: Simplify right side
    22,604.85x = 453,848,637.36
  5. Step 5: Solve for x
    x = 453,848,637.36/22,604.85
  6. Step 6: Final answer
    x = 20,077.49

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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.