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Finding the Fourth Proportional to 22,264, 33,366.84 and 12,407.92

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Solution

The fourth proportional to 22,264, 33,366.84 and 12,407.92 is: 18,595.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,264 : 33,366.84 = 12,407.92 : x
  2. Step 2: Convert to fraction form
    22,264/33,366.84 = 12,407.92/x
  3. Step 3: Cross multiply
    22,264x = 33,366.84 × 12,407.92
  4. Step 4: Simplify right side
    22,264x = 414,013,081.37
  5. Step 5: Solve for x
    x = 414,013,081.37/22,264
  6. Step 6: Final answer
    x = 18,595.63

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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.