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Finding the Fourth Proportional to 22,984.68, 34,468.48 and 8,189.66

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Solution

The fourth proportional to 22,984.68, 34,468.48 and 8,189.66 is: 12,281.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,984.68 : 34,468.48 = 8,189.66 : x
  2. Step 2: Convert to fraction form
    22,984.68/34,468.48 = 8,189.66/x
  3. Step 3: Cross multiply
    22,984.68x = 34,468.48 × 8,189.66
  4. Step 4: Simplify right side
    22,984.68x = 282,285,131.92
  5. Step 5: Solve for x
    x = 282,285,131.92/22,984.68
  6. Step 6: Final answer
    x = 12,281.45

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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.