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Finding the Fourth Proportional to 23,747.68, 35,623.21 and 7,106.37

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Solution

The fourth proportional to 23,747.68, 35,623.21 and 7,106.37 is: 10,660.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,747.68 : 35,623.21 = 7,106.37 : x
  2. Step 2: Convert to fraction form
    23,747.68/35,623.21 = 7,106.37/x
  3. Step 3: Cross multiply
    23,747.68x = 35,623.21 × 7,106.37
  4. Step 4: Simplify right side
    23,747.68x = 253,151,710.85
  5. Step 5: Solve for x
    x = 253,151,710.85/23,747.68
  6. Step 6: Final answer
    x = 10,660.06

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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.