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Finding the Fourth Proportional to 20,618.82, 30,928.22 and 11,848.14

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Solution

The fourth proportional to 20,618.82, 30,928.22 and 11,848.14 is: 17,772.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,618.82 : 30,928.22 = 11,848.14 : x
  2. Step 2: Convert to fraction form
    20,618.82/30,928.22 = 11,848.14/x
  3. Step 3: Cross multiply
    20,618.82x = 30,928.22 × 11,848.14
  4. Step 4: Simplify right side
    20,618.82x = 366,441,880.51
  5. Step 5: Solve for x
    x = 366,441,880.51/20,618.82
  6. Step 6: Final answer
    x = 17,772.20

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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.