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Finding the Fourth Proportional to 12,729.84, 19,098 and 3,964.80

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Solution

The fourth proportional to 12,729.84, 19,098 and 3,964.80 is: 5,948.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,729.84 : 19,098 = 3,964.80 : x
  2. Step 2: Convert to fraction form
    12,729.84/19,098 = 3,964.80/x
  3. Step 3: Cross multiply
    12,729.84x = 19,098 × 3,964.80
  4. Step 4: Simplify right side
    12,729.84x = 75,719,750.40
  5. Step 5: Solve for x
    x = 75,719,750.40/12,729.84
  6. Step 6: Final answer
    x = 5,948.21

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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.