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Finding the Fourth Proportional to 13,627.68, 20,400.78 and 8,346.06

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Solution

The fourth proportional to 13,627.68, 20,400.78 and 8,346.06 is: 12,494.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,627.68 : 20,400.78 = 8,346.06 : x
  2. Step 2: Convert to fraction form
    13,627.68/20,400.78 = 8,346.06/x
  3. Step 3: Cross multiply
    13,627.68x = 20,400.78 × 8,346.06
  4. Step 4: Simplify right side
    13,627.68x = 170,266,133.93
  5. Step 5: Solve for x
    x = 170,266,133.93/13,627.68
  6. Step 6: Final answer
    x = 12,494.14

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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.