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Finding the Fourth Proportional to 21,838.70, 32,765.73 and 10,753.17

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Solution

The fourth proportional to 21,838.70, 32,765.73 and 10,753.17 is: 16,133.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,838.70 : 32,765.73 = 10,753.17 : x
  2. Step 2: Convert to fraction form
    21,838.70/32,765.73 = 10,753.17/x
  3. Step 3: Cross multiply
    21,838.70x = 32,765.73 × 10,753.17
  4. Step 4: Simplify right side
    21,838.70x = 352,335,437.98
  5. Step 5: Solve for x
    x = 352,335,437.98/21,838.70
  6. Step 6: Final answer
    x = 16,133.54

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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.