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Finding the Fourth Proportional to 22,225.70, 33,341.87 and 8,184.65

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Solution

The fourth proportional to 22,225.70, 33,341.87 and 8,184.65 is: 12,278.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,225.70 : 33,341.87 = 8,184.65 : x
  2. Step 2: Convert to fraction form
    22,225.70/33,341.87 = 8,184.65/x
  3. Step 3: Cross multiply
    22,225.70x = 33,341.87 × 8,184.65
  4. Step 4: Simplify right side
    22,225.70x = 272,891,484.39
  5. Step 5: Solve for x
    x = 272,891,484.39/22,225.70
  6. Step 6: Final answer
    x = 12,278.19

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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.