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Finding the Fourth Proportional to 18,535.30, 27,802.98 and 6,843.76

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Solution

The fourth proportional to 18,535.30, 27,802.98 and 6,843.76 is: 10,265.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,535.30 : 27,802.98 = 6,843.76 : x
  2. Step 2: Convert to fraction form
    18,535.30/27,802.98 = 6,843.76/x
  3. Step 3: Cross multiply
    18,535.30x = 27,802.98 × 6,843.76
  4. Step 4: Simplify right side
    18,535.30x = 190,276,922.40
  5. Step 5: Solve for x
    x = 190,276,922.40/18,535.30
  6. Step 6: Final answer
    x = 10,265.65

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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.