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Finding the Fourth Proportional to 23,241.28, 34,864.22 and 7,442.34

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Solution

The fourth proportional to 23,241.28, 34,864.22 and 7,442.34 is: 11,164.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,241.28 : 34,864.22 = 7,442.34 : x
  2. Step 2: Convert to fraction form
    23,241.28/34,864.22 = 7,442.34/x
  3. Step 3: Cross multiply
    23,241.28x = 34,864.22 × 7,442.34
  4. Step 4: Simplify right side
    23,241.28x = 259,471,341.86
  5. Step 5: Solve for x
    x = 259,471,341.86/23,241.28
  6. Step 6: Final answer
    x = 11,164.25

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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.