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Finding the Fourth Proportional to 13,715.73, 18,928.76 and 7,748.06

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Solution

The fourth proportional to 13,715.73, 18,928.76 and 7,748.06 is: 10,692.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,715.73 : 18,928.76 = 7,748.06 : x
  2. Step 2: Convert to fraction form
    13,715.73/18,928.76 = 7,748.06/x
  3. Step 3: Cross multiply
    13,715.73x = 18,928.76 × 7,748.06
  4. Step 4: Simplify right side
    13,715.73x = 146,661,034.82
  5. Step 5: Solve for x
    x = 146,661,034.82/13,715.73
  6. Step 6: Final answer
    x = 10,692.91

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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.