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Finding the Fourth Proportional to 22,570.38, 33,855.57 and 12,435.66

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Solution

The fourth proportional to 22,570.38, 33,855.57 and 12,435.66 is: 18,653.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,570.38 : 33,855.57 = 12,435.66 : x
  2. Step 2: Convert to fraction form
    22,570.38/33,855.57 = 12,435.66/x
  3. Step 3: Cross multiply
    22,570.38x = 33,855.57 × 12,435.66
  4. Step 4: Simplify right side
    22,570.38x = 421,016,357.63
  5. Step 5: Solve for x
    x = 421,016,357.63/22,570.38
  6. Step 6: Final answer
    x = 18,653.49

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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.