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Finding the Fourth Proportional to 22,548, 33,841.96 and 10,716.32

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Solution

The fourth proportional to 22,548, 33,841.96 and 10,716.32 is: 16,083.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,548 : 33,841.96 = 10,716.32 : x
  2. Step 2: Convert to fraction form
    22,548/33,841.96 = 10,716.32/x
  3. Step 3: Cross multiply
    22,548x = 33,841.96 × 10,716.32
  4. Step 4: Simplify right side
    22,548x = 362,661,272.79
  5. Step 5: Solve for x
    x = 362,661,272.79/22,548
  6. Step 6: Final answer
    x = 16,083.97

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Why These Related Problems?

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