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Finding the Fourth Proportional to 12,863.90, 19,305.08 and 5,473.55

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Solution

The fourth proportional to 12,863.90, 19,305.08 and 5,473.55 is: 8,214.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,863.90 : 19,305.08 = 5,473.55 : x
  2. Step 2: Convert to fraction form
    12,863.90/19,305.08 = 5,473.55/x
  3. Step 3: Cross multiply
    12,863.90x = 19,305.08 × 5,473.55
  4. Step 4: Simplify right side
    12,863.90x = 105,667,196.74
  5. Step 5: Solve for x
    x = 105,667,196.74/12,863.90
  6. Step 6: Final answer
    x = 8,214.25

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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.