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Finding the Fourth Proportional to 13,716.52, 18,928.46 and 7,748

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Solution

The fourth proportional to 13,716.52, 18,928.46 and 7,748 is: 10,692.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,716.52 : 18,928.46 = 7,748 : x
  2. Step 2: Convert to fraction form
    13,716.52/18,928.46 = 7,748/x
  3. Step 3: Cross multiply
    13,716.52x = 18,928.46 × 7,748
  4. Step 4: Simplify right side
    13,716.52x = 146,657,708.08
  5. Step 5: Solve for x
    x = 146,657,708.08/13,716.52
  6. Step 6: Final answer
    x = 10,692.05

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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.