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Finding the Fourth Proportional to 18,209.14, 27,333.15 and 7,828.18

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Solution

The fourth proportional to 18,209.14, 27,333.15 and 7,828.18 is: 11,750.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,209.14 : 27,333.15 = 7,828.18 : x
  2. Step 2: Convert to fraction form
    18,209.14/27,333.15 = 7,828.18/x
  3. Step 3: Cross multiply
    18,209.14x = 27,333.15 × 7,828.18
  4. Step 4: Simplify right side
    18,209.14x = 213,968,818.17
  5. Step 5: Solve for x
    x = 213,968,818.17/18,209.14
  6. Step 6: Final answer
    x = 11,750.63

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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.