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Finding the Fourth Proportional to 23,241.77, 34,864.96 and 7,442.84

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Solution

The fourth proportional to 23,241.77, 34,864.96 and 7,442.84 is: 11,165.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,241.77 : 34,864.96 = 7,442.84 : x
  2. Step 2: Convert to fraction form
    23,241.77/34,864.96 = 7,442.84/x
  3. Step 3: Cross multiply
    23,241.77x = 34,864.96 × 7,442.84
  4. Step 4: Simplify right side
    23,241.77x = 259,494,318.89
  5. Step 5: Solve for x
    x = 259,494,318.89/23,241.77
  6. Step 6: Final answer
    x = 11,165.00

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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.