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Finding the Fourth Proportional to 20,172.28, 27,822 and 13,802.67

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Solution

The fourth proportional to 20,172.28, 27,822 and 13,802.67 is: 19,036.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,172.28 : 27,822 = 13,802.67 : x
  2. Step 2: Convert to fraction form
    20,172.28/27,822 = 13,802.67/x
  3. Step 3: Cross multiply
    20,172.28x = 27,822 × 13,802.67
  4. Step 4: Simplify right side
    20,172.28x = 384,017,884.74
  5. Step 5: Solve for x
    x = 384,017,884.74/20,172.28
  6. Step 6: Final answer
    x = 19,036.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.