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Finding the Fourth Proportional to 23,278.84, 34,923.73 and 7,696.47

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Solution

The fourth proportional to 23,278.84, 34,923.73 and 7,696.47 is: 11,546.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,278.84 : 34,923.73 = 7,696.47 : x
  2. Step 2: Convert to fraction form
    23,278.84/34,923.73 = 7,696.47/x
  3. Step 3: Cross multiply
    23,278.84x = 34,923.73 × 7,696.47
  4. Step 4: Simplify right side
    23,278.84x = 268,789,440.23
  5. Step 5: Solve for x
    x = 268,789,440.23/23,278.84
  6. Step 6: Final answer
    x = 11,546.51

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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.