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Finding the Fourth Proportional to 22,839.26, 31,519.65 and 12,767.74

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Solution

The fourth proportional to 22,839.26, 31,519.65 and 12,767.74 is: 17,620.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,839.26 : 31,519.65 = 12,767.74 : x
  2. Step 2: Convert to fraction form
    22,839.26/31,519.65 = 12,767.74/x
  3. Step 3: Cross multiply
    22,839.26x = 31,519.65 × 12,767.74
  4. Step 4: Simplify right side
    22,839.26x = 402,434,696.09
  5. Step 5: Solve for x
    x = 402,434,696.09/22,839.26
  6. Step 6: Final answer
    x = 17,620.30

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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.