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Finding the Fourth Proportional to 12,952.12, 19,378.92 and 8,009.48

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Solution

The fourth proportional to 12,952.12, 19,378.92 and 8,009.48 is: 11,983.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,952.12 : 19,378.92 = 8,009.48 : x
  2. Step 2: Convert to fraction form
    12,952.12/19,378.92 = 8,009.48/x
  3. Step 3: Cross multiply
    12,952.12x = 19,378.92 × 8,009.48
  4. Step 4: Simplify right side
    12,952.12x = 155,215,072.16
  5. Step 5: Solve for x
    x = 155,215,072.16/12,952.12
  6. Step 6: Final answer
    x = 11,983.76

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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.