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Finding the Fourth Proportional to 22,839.36, 34,262.97 and 7,845.77

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Solution

The fourth proportional to 22,839.36, 34,262.97 and 7,845.77 is: 11,770.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,839.36 : 34,262.97 = 7,845.77 : x
  2. Step 2: Convert to fraction form
    22,839.36/34,262.97 = 7,845.77/x
  3. Step 3: Cross multiply
    22,839.36x = 34,262.97 × 7,845.77
  4. Step 4: Simplify right side
    22,839.36x = 268,819,210.82
  5. Step 5: Solve for x
    x = 268,819,210.82/22,839.36
  6. Step 6: Final answer
    x = 11,770.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.