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Finding the Fourth Proportional to 22,054, 30,434.28 and 11,982.46

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Solution

The fourth proportional to 22,054, 30,434.28 and 11,982.46 is: 16,535.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,054 : 30,434.28 = 11,982.46 : x
  2. Step 2: Convert to fraction form
    22,054/30,434.28 = 11,982.46/x
  3. Step 3: Cross multiply
    22,054x = 30,434.28 × 11,982.46
  4. Step 4: Simplify right side
    22,054x = 364,677,542.73
  5. Step 5: Solve for x
    x = 364,677,542.73/22,054
  6. Step 6: Final answer
    x = 16,535.66

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