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Finding the Fourth Proportional to 23,822.50, 35,735.28 and 6,291.88

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Solution

The fourth proportional to 23,822.50, 35,735.28 and 6,291.88 is: 9,438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,822.50 : 35,735.28 = 6,291.88 : x
  2. Step 2: Convert to fraction form
    23,822.50/35,735.28 = 6,291.88/x
  3. Step 3: Cross multiply
    23,822.50x = 35,735.28 × 6,291.88
  4. Step 4: Simplify right side
    23,822.50x = 224,842,093.53
  5. Step 5: Solve for x
    x = 224,842,093.53/23,822.50
  6. Step 6: Final answer
    x = 9,438.22

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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.