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Finding the Fourth Proportional to 12,874.89, 19,308.21 and 6,634.08

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Solution

The fourth proportional to 12,874.89, 19,308.21 and 6,634.08 is: 9,948.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.89 : 19,308.21 = 6,634.08 : x
  2. Step 2: Convert to fraction form
    12,874.89/19,308.21 = 6,634.08/x
  3. Step 3: Cross multiply
    12,874.89x = 19,308.21 × 6,634.08
  4. Step 4: Simplify right side
    12,874.89x = 128,092,209.80
  5. Step 5: Solve for x
    x = 128,092,209.80/12,874.89
  6. Step 6: Final answer
    x = 9,948.99

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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.