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Finding the Fourth Proportional to 22,839.68, 31,519.00 and 12,768.68

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Solution

The fourth proportional to 22,839.68, 31,519.00 and 12,768.68 is: 17,620.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,839.68 : 31,519.00 = 12,768.68 : x
  2. Step 2: Convert to fraction form
    22,839.68/31,519.00 = 12,768.68/x
  3. Step 3: Cross multiply
    22,839.68x = 31,519.00 × 12,768.68
  4. Step 4: Simplify right side
    22,839.68x = 402,456,047.85
  5. Step 5: Solve for x
    x = 402,456,047.85/22,839.68
  6. Step 6: Final answer
    x = 17,620.91

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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.