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Finding the Fourth Proportional to 13,230.40, 19,850.22 and 8,294.20

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Solution

The fourth proportional to 13,230.40, 19,850.22 and 8,294.20 is: 12,444.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,230.40 : 19,850.22 = 8,294.20 : x
  2. Step 2: Convert to fraction form
    13,230.40/19,850.22 = 8,294.20/x
  3. Step 3: Cross multiply
    13,230.40x = 19,850.22 × 8,294.20
  4. Step 4: Simplify right side
    13,230.40x = 164,641,694.72
  5. Step 5: Solve for x
    x = 164,641,694.72/13,230.40
  6. Step 6: Final answer
    x = 12,444.20

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1.5x scale

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.