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Finding the Fourth Proportional to 13,876.74, 20,794.48 and 8,323.58

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Solution

The fourth proportional to 13,876.74, 20,794.48 and 8,323.58 is: 12,473.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,876.74 : 20,794.48 = 8,323.58 : x
  2. Step 2: Convert to fraction form
    13,876.74/20,794.48 = 8,323.58/x
  3. Step 3: Cross multiply
    13,876.74x = 20,794.48 × 8,323.58
  4. Step 4: Simplify right side
    13,876.74x = 173,084,517.84
  5. Step 5: Solve for x
    x = 173,084,517.84/13,876.74
  6. Step 6: Final answer
    x = 12,473.00

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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.