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Finding the Fourth Proportional to 22,806.77, 31,471.54 and 12,734.42

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Solution

The fourth proportional to 22,806.77, 31,471.54 and 12,734.42 is: 17,572.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,806.77 : 31,471.54 = 12,734.42 : x
  2. Step 2: Convert to fraction form
    22,806.77/31,471.54 = 12,734.42/x
  3. Step 3: Cross multiply
    22,806.77x = 31,471.54 × 12,734.42
  4. Step 4: Simplify right side
    22,806.77x = 400,771,619.21
  5. Step 5: Solve for x
    x = 400,771,619.21/22,806.77
  6. Step 6: Final answer
    x = 17,572.49

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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.