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Finding the Fourth Proportional to 13,264.50, 19,847.70 and 8,002.56

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Solution

The fourth proportional to 13,264.50, 19,847.70 and 8,002.56 is: 11,974.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,264.50 : 19,847.70 = 8,002.56 : x
  2. Step 2: Convert to fraction form
    13,264.50/19,847.70 = 8,002.56/x
  3. Step 3: Cross multiply
    13,264.50x = 19,847.70 × 8,002.56
  4. Step 4: Simplify right side
    13,264.50x = 158,832,410.11
  5. Step 5: Solve for x
    x = 158,832,410.11/13,264.50
  6. Step 6: Final answer
    x = 11,974.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.