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Finding the Fourth Proportional to 22,984.26, 34,479.62 and 8,188.80

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Solution

The fourth proportional to 22,984.26, 34,479.62 and 8,188.80 is: 12,284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,984.26 : 34,479.62 = 8,188.80 : x
  2. Step 2: Convert to fraction form
    22,984.26/34,479.62 = 8,188.80/x
  3. Step 3: Cross multiply
    22,984.26x = 34,479.62 × 8,188.80
  4. Step 4: Simplify right side
    22,984.26x = 282,346,712.26
  5. Step 5: Solve for x
    x = 282,346,712.26/22,984.26
  6. Step 6: Final answer
    x = 12,284.35

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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.