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Finding the Fourth Proportional to 21,106.38, 31,661.39 and 5,524

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Solution

The fourth proportional to 21,106.38, 31,661.39 and 5,524 is: 8,286.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,106.38 : 31,661.39 = 5,524 : x
  2. Step 2: Convert to fraction form
    21,106.38/31,661.39 = 5,524/x
  3. Step 3: Cross multiply
    21,106.38x = 31,661.39 × 5,524
  4. Step 4: Simplify right side
    21,106.38x = 174,897,518.36
  5. Step 5: Solve for x
    x = 174,897,518.36/21,106.38
  6. Step 6: Final answer
    x = 8,286.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.