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Finding the Fourth Proportional to 22,241, 30,693.54 and 12,305

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Solution

The fourth proportional to 22,241, 30,693.54 and 12,305 is: 16,981.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,241 : 30,693.54 = 12,305 : x
  2. Step 2: Convert to fraction form
    22,241/30,693.54 = 12,305/x
  3. Step 3: Cross multiply
    22,241x = 30,693.54 × 12,305
  4. Step 4: Simplify right side
    22,241x = 377,684,009.70
  5. Step 5: Solve for x
    x = 377,684,009.70/22,241
  6. Step 6: Final answer
    x = 16,981.43

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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.