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Finding the Fourth Proportional to 21,833.57, 32,747.16 and 10,737.28

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Solution

The fourth proportional to 21,833.57, 32,747.16 and 10,737.28 is: 16,104.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,833.57 : 32,747.16 = 10,737.28 : x
  2. Step 2: Convert to fraction form
    21,833.57/32,747.16 = 10,737.28/x
  3. Step 3: Cross multiply
    21,833.57x = 32,747.16 × 10,737.28
  4. Step 4: Simplify right side
    21,833.57x = 351,615,262.39
  5. Step 5: Solve for x
    x = 351,615,262.39/21,833.57
  6. Step 6: Final answer
    x = 16,104.34

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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.