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Finding the Fourth Proportional to 22,542.50, 31,107.80 and 12,471.37

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Solution

The fourth proportional to 22,542.50, 31,107.80 and 12,471.37 is: 17,210.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,542.50 : 31,107.80 = 12,471.37 : x
  2. Step 2: Convert to fraction form
    22,542.50/31,107.80 = 12,471.37/x
  3. Step 3: Cross multiply
    22,542.50x = 31,107.80 × 12,471.37
  4. Step 4: Simplify right side
    22,542.50x = 387,956,766.94
  5. Step 5: Solve for x
    x = 387,956,766.94/22,542.50
  6. Step 6: Final answer
    x = 17,210.01

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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.