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Finding the Fourth Proportional to 23,591.37, 35,389.28 and 7,796.50

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Solution

The fourth proportional to 23,591.37, 35,389.28 and 7,796.50 is: 11,695.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,591.37 : 35,389.28 = 7,796.50 : x
  2. Step 2: Convert to fraction form
    23,591.37/35,389.28 = 7,796.50/x
  3. Step 3: Cross multiply
    23,591.37x = 35,389.28 × 7,796.50
  4. Step 4: Simplify right side
    23,591.37x = 275,912,521.52
  5. Step 5: Solve for x
    x = 275,912,521.52/23,591.37
  6. Step 6: Final answer
    x = 11,695.49

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Why These Related Problems?

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