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Finding the Fourth Proportional to 13,740.39, 20,601.68 and 4,974.17

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Solution

The fourth proportional to 13,740.39, 20,601.68 and 4,974.17 is: 7,458.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,740.39 : 20,601.68 = 4,974.17 : x
  2. Step 2: Convert to fraction form
    13,740.39/20,601.68 = 4,974.17/x
  3. Step 3: Cross multiply
    13,740.39x = 20,601.68 × 4,974.17
  4. Step 4: Simplify right side
    13,740.39x = 102,476,130.73
  5. Step 5: Solve for x
    x = 102,476,130.73/13,740.39
  6. Step 6: Final answer
    x = 7,458.02

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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.