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Finding the Fourth Proportional to 20,159.66, 27,821.32 and 11,206.97

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Solution

The fourth proportional to 20,159.66, 27,821.32 and 11,206.97 is: 15,466.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,159.66 : 27,821.32 = 11,206.97 : x
  2. Step 2: Convert to fraction form
    20,159.66/27,821.32 = 11,206.97/x
  3. Step 3: Cross multiply
    20,159.66x = 27,821.32 × 11,206.97
  4. Step 4: Simplify right side
    20,159.66x = 311,792,635.81
  5. Step 5: Solve for x
    x = 311,792,635.81/20,159.66
  6. Step 6: Final answer
    x = 15,466.16

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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.