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Finding the Fourth Proportional to 22,523.65, 31,091.40 and 20,161.69

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Solution

The fourth proportional to 22,523.65, 31,091.40 and 20,161.69 is: 27,830.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,523.65 : 31,091.40 = 20,161.69 : x
  2. Step 2: Convert to fraction form
    22,523.65/31,091.40 = 20,161.69/x
  3. Step 3: Cross multiply
    22,523.65x = 31,091.40 × 20,161.69
  4. Step 4: Simplify right side
    22,523.65x = 626,855,168.47
  5. Step 5: Solve for x
    x = 626,855,168.47/22,523.65
  6. Step 6: Final answer
    x = 27,830.98

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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.