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Finding the Fourth Proportional to 23,591.84, 35,391.26 and 7,798.54

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Solution

The fourth proportional to 23,591.84, 35,391.26 and 7,798.54 is: 11,698.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,591.84 : 35,391.26 = 7,798.54 : x
  2. Step 2: Convert to fraction form
    23,591.84/35,391.26 = 7,798.54/x
  3. Step 3: Cross multiply
    23,591.84x = 35,391.26 × 7,798.54
  4. Step 4: Simplify right side
    23,591.84x = 276,000,156.76
  5. Step 5: Solve for x
    x = 276,000,156.76/23,591.84
  6. Step 6: Final answer
    x = 11,698.97

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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.