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Finding the Fourth Proportional to 23,524, 32,228.32 and 22,638.40

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Solution

The fourth proportional to 23,524, 32,228.32 and 22,638.40 is: 31,015.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,524 : 32,228.32 = 22,638.40 : x
  2. Step 2: Convert to fraction form
    23,524/32,228.32 = 22,638.40/x
  3. Step 3: Cross multiply
    23,524x = 32,228.32 × 22,638.40
  4. Step 4: Simplify right side
    23,524x = 729,597,599.49
  5. Step 5: Solve for x
    x = 729,597,599.49/23,524
  6. Step 6: Final answer
    x = 31,015.03

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.