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Finding the Fourth Proportional to 13,251.24, 19,881.90 and 8,315.40

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Solution

The fourth proportional to 13,251.24, 19,881.90 and 8,315.40 is: 12,476.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,251.24 : 19,881.90 = 8,315.40 : x
  2. Step 2: Convert to fraction form
    13,251.24/19,881.90 = 8,315.40/x
  3. Step 3: Cross multiply
    13,251.24x = 19,881.90 × 8,315.40
  4. Step 4: Simplify right side
    13,251.24x = 165,325,951.26
  5. Step 5: Solve for x
    x = 165,325,951.26/13,251.24
  6. Step 6: Final answer
    x = 12,476.26

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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.