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Finding the Fourth Proportional to 12,874.32, 19,308.96 and 6,293.88

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Solution

The fourth proportional to 12,874.32, 19,308.96 and 6,293.88 is: 9,439.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,874.32 : 19,308.96 = 6,293.88 : x
  2. Step 2: Convert to fraction form
    12,874.32/19,308.96 = 6,293.88/x
  3. Step 3: Cross multiply
    12,874.32x = 19,308.96 × 6,293.88
  4. Step 4: Simplify right side
    12,874.32x = 121,528,277.16
  5. Step 5: Solve for x
    x = 121,528,277.16/12,874.32
  6. Step 6: Final answer
    x = 9,439.59

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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.