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Finding the Fourth Proportional to 22,293, 30,764.34 and 12,357

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Solution

The fourth proportional to 22,293, 30,764.34 and 12,357 is: 17,052.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,293 : 30,764.34 = 12,357 : x
  2. Step 2: Convert to fraction form
    22,293/30,764.34 = 12,357/x
  3. Step 3: Cross multiply
    22,293x = 30,764.34 × 12,357
  4. Step 4: Simplify right side
    22,293x = 380,154,949.38
  5. Step 5: Solve for x
    x = 380,154,949.38/22,293
  6. Step 6: Final answer
    x = 17,052.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.