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Finding the Fourth Proportional to 13,704.96, 18,921.78 and 8,402.70

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Solution

The fourth proportional to 13,704.96, 18,921.78 and 8,402.70 is: 11,601.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.96 : 18,921.78 = 8,402.70 : x
  2. Step 2: Convert to fraction form
    13,704.96/18,921.78 = 8,402.70/x
  3. Step 3: Cross multiply
    13,704.96x = 18,921.78 × 8,402.70
  4. Step 4: Simplify right side
    13,704.96x = 158,994,040.81
  5. Step 5: Solve for x
    x = 158,994,040.81/13,704.96
  6. Step 6: Final answer
    x = 11,601.20

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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.