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Finding the Fourth Proportional to 22,145.46, 33,218.06 and 8,106.47

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Solution

The fourth proportional to 22,145.46, 33,218.06 and 8,106.47 is: 12,159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,145.46 : 33,218.06 = 8,106.47 : x
  2. Step 2: Convert to fraction form
    22,145.46/33,218.06 = 8,106.47/x
  3. Step 3: Cross multiply
    22,145.46x = 33,218.06 × 8,106.47
  4. Step 4: Simplify right side
    22,145.46x = 269,281,206.85
  5. Step 5: Solve for x
    x = 269,281,206.85/22,145.46
  6. Step 6: Final answer
    x = 12,159.66

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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.