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Finding the Fourth Proportional to 22,093, 30,488.34 and 12,157

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Solution

The fourth proportional to 22,093, 30,488.34 and 12,157 is: 16,776.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,093 : 30,488.34 = 12,157 : x
  2. Step 2: Convert to fraction form
    22,093/30,488.34 = 12,157/x
  3. Step 3: Cross multiply
    22,093x = 30,488.34 × 12,157
  4. Step 4: Simplify right side
    22,093x = 370,646,749.38
  5. Step 5: Solve for x
    x = 370,646,749.38/22,093
  6. Step 6: Final answer
    x = 16,776.66

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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.