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Finding the Fourth Proportional to 14,251.92, 19,667.52 and 7,878.60

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Solution

The fourth proportional to 14,251.92, 19,667.52 and 7,878.60 is: 10,872.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,251.92 : 19,667.52 = 7,878.60 : x
  2. Step 2: Convert to fraction form
    14,251.92/19,667.52 = 7,878.60/x
  3. Step 3: Cross multiply
    14,251.92x = 19,667.52 × 7,878.60
  4. Step 4: Simplify right side
    14,251.92x = 154,952,523.07
  5. Step 5: Solve for x
    x = 154,952,523.07/14,251.92
  6. Step 6: Final answer
    x = 10,872.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.