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Finding the Fourth Proportional to 15,806.49, 23,713.19 and 5,945.76

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Solution

The fourth proportional to 15,806.49, 23,713.19 and 5,945.76 is: 8,919.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806.49 : 23,713.19 = 5,945.76 : x
  2. Step 2: Convert to fraction form
    15,806.49/23,713.19 = 5,945.76/x
  3. Step 3: Cross multiply
    15,806.49x = 23,713.19 × 5,945.76
  4. Step 4: Simplify right side
    15,806.49x = 140,992,936.57
  5. Step 5: Solve for x
    x = 140,992,936.57/15,806.49
  6. Step 6: Final answer
    x = 8,919.94

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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.