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Finding the Fourth Proportional to 23,648.40, 35,474.22 and 6,120

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Solution

The fourth proportional to 23,648.40, 35,474.22 and 6,120 is: 9,180.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,648.40 : 35,474.22 = 6,120 : x
  2. Step 2: Convert to fraction form
    23,648.40/35,474.22 = 6,120/x
  3. Step 3: Cross multiply
    23,648.40x = 35,474.22 × 6,120
  4. Step 4: Simplify right side
    23,648.40x = 217,102,226.40
  5. Step 5: Solve for x
    x = 217,102,226.40/23,648.40
  6. Step 6: Final answer
    x = 9,180.42

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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.