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Finding the Fourth Proportional to 23,822.40, 35,735.32 and 6,292

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Solution

The fourth proportional to 23,822.40, 35,735.32 and 6,292 is: 9,438.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,822.40 : 35,735.32 = 6,292 : x
  2. Step 2: Convert to fraction form
    23,822.40/35,735.32 = 6,292/x
  3. Step 3: Cross multiply
    23,822.40x = 35,735.32 × 6,292
  4. Step 4: Simplify right side
    23,822.40x = 224,846,633.44
  5. Step 5: Solve for x
    x = 224,846,633.44/23,822.40
  6. Step 6: Final answer
    x = 9,438.45

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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.