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Finding the Fourth Proportional to 18,934.20, 28,372.14 and 7,838.82

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Solution

The fourth proportional to 18,934.20, 28,372.14 and 7,838.82 is: 11,746.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,934.20 : 28,372.14 = 7,838.82 : x
  2. Step 2: Convert to fraction form
    18,934.20/28,372.14 = 7,838.82/x
  3. Step 3: Cross multiply
    18,934.20x = 28,372.14 × 7,838.82
  4. Step 4: Simplify right side
    18,934.20x = 222,404,098.47
  5. Step 5: Solve for x
    x = 222,404,098.47/18,934.20
  6. Step 6: Final answer
    x = 11,746.16

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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.