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Finding the Fourth Proportional to 22,073, 30,460.74 and 12,137

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Solution

The fourth proportional to 22,073, 30,460.74 and 12,137 is: 16,749.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,073 : 30,460.74 = 12,137 : x
  2. Step 2: Convert to fraction form
    22,073/30,460.74 = 12,137/x
  3. Step 3: Cross multiply
    22,073x = 30,460.74 × 12,137
  4. Step 4: Simplify right side
    22,073x = 369,702,001.38
  5. Step 5: Solve for x
    x = 369,702,001.38/22,073
  6. Step 6: Final answer
    x = 16,749.06

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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.