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Finding the Fourth Proportional to 12,874.40, 19,322.40 and 6,306.20

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Solution

The fourth proportional to 12,874.40, 19,322.40 and 6,306.20 is: 9,464.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.40 : 19,322.40 = 6,306.20 : x
  2. Step 2: Convert to fraction form
    12,874.40/19,322.40 = 6,306.20/x
  3. Step 3: Cross multiply
    12,874.40x = 19,322.40 × 6,306.20
  4. Step 4: Simplify right side
    12,874.40x = 121,850,918.88
  5. Step 5: Solve for x
    x = 121,850,918.88/12,874.40
  6. Step 6: Final answer
    x = 9,464.59

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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.