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Finding the Fourth Proportional to 25,806.49, 38,709.80 and 7,086.79

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Solution

The fourth proportional to 25,806.49, 38,709.80 and 7,086.79 is: 10,630.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,806.49 : 38,709.80 = 7,086.79 : x
  2. Step 2: Convert to fraction form
    25,806.49/38,709.80 = 7,086.79/x
  3. Step 3: Cross multiply
    25,806.49x = 38,709.80 × 7,086.79
  4. Step 4: Simplify right side
    25,806.49x = 274,328,223.54
  5. Step 5: Solve for x
    x = 274,328,223.54/25,806.49
  6. Step 6: Final answer
    x = 10,630.20

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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.