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Finding the Fourth Proportional to 12,881.48, 19,290.54 and 6,286.40

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Solution

The fourth proportional to 12,881.48, 19,290.54 and 6,286.40 is: 9,414.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,881.48 : 19,290.54 = 6,286.40 : x
  2. Step 2: Convert to fraction form
    12,881.48/19,290.54 = 6,286.40/x
  3. Step 3: Cross multiply
    12,881.48x = 19,290.54 × 6,286.40
  4. Step 4: Simplify right side
    12,881.48x = 121,268,050.66
  5. Step 5: Solve for x
    x = 121,268,050.66/12,881.48
  6. Step 6: Final answer
    x = 9,414.14

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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.