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Finding the Fourth Proportional to 13,712.92, 18,923.70 and 8,047.78

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Solution

The fourth proportional to 13,712.92, 18,923.70 and 8,047.78 is: 11,105.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,712.92 : 18,923.70 = 8,047.78 : x
  2. Step 2: Convert to fraction form
    13,712.92/18,923.70 = 8,047.78/x
  3. Step 3: Cross multiply
    13,712.92x = 18,923.70 × 8,047.78
  4. Step 4: Simplify right side
    13,712.92x = 152,293,774.39
  5. Step 5: Solve for x
    x = 152,293,774.39/13,712.92
  6. Step 6: Final answer
    x = 11,105.86

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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.