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Finding the Fourth Proportional to 12,872.96, 19,304.46 and 5,480.90

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Solution

The fourth proportional to 12,872.96, 19,304.46 and 5,480.90 is: 8,219.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,872.96 : 19,304.46 = 5,480.90 : x
  2. Step 2: Convert to fraction form
    12,872.96/19,304.46 = 5,480.90/x
  3. Step 3: Cross multiply
    12,872.96x = 19,304.46 × 5,480.90
  4. Step 4: Simplify right side
    12,872.96x = 105,805,814.81
  5. Step 5: Solve for x
    x = 105,805,814.81/12,872.96
  6. Step 6: Final answer
    x = 8,219.23

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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.