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Finding the Fourth Proportional to 20,838.96, 31,224.36 and 20,061.36

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Solution

The fourth proportional to 20,838.96, 31,224.36 and 20,061.36 is: 30,059.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,838.96 : 31,224.36 = 20,061.36 : x
  2. Step 2: Convert to fraction form
    20,838.96/31,224.36 = 20,061.36/x
  3. Step 3: Cross multiply
    20,838.96x = 31,224.36 × 20,061.36
  4. Step 4: Simplify right side
    20,838.96x = 626,403,126.73
  5. Step 5: Solve for x
    x = 626,403,126.73/20,838.96
  6. Step 6: Final answer
    x = 30,059.23

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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.