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Finding the Fourth Proportional to 12,732.90, 19,097.55 and 3,968.70

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Solution

The fourth proportional to 12,732.90, 19,097.55 and 3,968.70 is: 5,952.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,732.90 : 19,097.55 = 3,968.70 : x
  2. Step 2: Convert to fraction form
    12,732.90/19,097.55 = 3,968.70/x
  3. Step 3: Cross multiply
    12,732.90x = 19,097.55 × 3,968.70
  4. Step 4: Simplify right side
    12,732.90x = 75,792,446.69
  5. Step 5: Solve for x
    x = 75,792,446.69/12,732.90
  6. Step 6: Final answer
    x = 5,952.49

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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.