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Finding the Fourth Proportional to 12,881.34, 19,324.71 and 5,486.04

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Solution

The fourth proportional to 12,881.34, 19,324.71 and 5,486.04 is: 8,230.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,881.34 : 19,324.71 = 5,486.04 : x
  2. Step 2: Convert to fraction form
    12,881.34/19,324.71 = 5,486.04/x
  3. Step 3: Cross multiply
    12,881.34x = 19,324.71 × 5,486.04
  4. Step 4: Simplify right side
    12,881.34x = 106,016,132.05
  5. Step 5: Solve for x
    x = 106,016,132.05/12,881.34
  6. Step 6: Final answer
    x = 8,230.21

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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.