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Finding the Fourth Proportional to 23,833.44, 35,724.24 and 9,966.24

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Solution

The fourth proportional to 23,833.44, 35,724.24 and 9,966.24 is: 14,938.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,833.44 : 35,724.24 = 9,966.24 : x
  2. Step 2: Convert to fraction form
    23,833.44/35,724.24 = 9,966.24/x
  3. Step 3: Cross multiply
    23,833.44x = 35,724.24 × 9,966.24
  4. Step 4: Simplify right side
    23,833.44x = 356,036,349.66
  5. Step 5: Solve for x
    x = 356,036,349.66/23,833.44
  6. Step 6: Final answer
    x = 14,938.52

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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.