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Finding the Fourth Proportional to 13,716.32, 18,928.52 and 7,428.68

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Solution

The fourth proportional to 13,716.32, 18,928.52 and 7,428.68 is: 10,251.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,716.32 : 18,928.52 = 7,428.68 : x
  2. Step 2: Convert to fraction form
    13,716.32/18,928.52 = 7,428.68/x
  3. Step 3: Cross multiply
    13,716.32x = 18,928.52 × 7,428.68
  4. Step 4: Simplify right side
    13,716.32x = 140,613,917.95
  5. Step 5: Solve for x
    x = 140,613,917.95/13,716.32
  6. Step 6: Final answer
    x = 10,251.58

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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.