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Finding the Fourth Proportional to 22,382.82, 33,535.35 and 15,705.18

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Solution

The fourth proportional to 22,382.82, 33,535.35 and 15,705.18 is: 23,530.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,382.82 : 33,535.35 = 15,705.18 : x
  2. Step 2: Convert to fraction form
    22,382.82/33,535.35 = 15,705.18/x
  3. Step 3: Cross multiply
    22,382.82x = 33,535.35 × 15,705.18
  4. Step 4: Simplify right side
    22,382.82x = 526,678,708.11
  5. Step 5: Solve for x
    x = 526,678,708.11/22,382.82
  6. Step 6: Final answer
    x = 23,530.49

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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.