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Finding the Fourth Proportional to 14,115.96, 19,480.37 and 7,742.84

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Solution

The fourth proportional to 14,115.96, 19,480.37 and 7,742.84 is: 10,685.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,115.96 : 19,480.37 = 7,742.84 : x
  2. Step 2: Convert to fraction form
    14,115.96/19,480.37 = 7,742.84/x
  3. Step 3: Cross multiply
    14,115.96x = 19,480.37 × 7,742.84
  4. Step 4: Simplify right side
    14,115.96x = 150,833,251.93
  5. Step 5: Solve for x
    x = 150,833,251.93/14,115.96
  6. Step 6: Final answer
    x = 10,685.30

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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.