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Finding the Fourth Proportional to 19,838.25, 29,757.38 and 5,987.25

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Solution

The fourth proportional to 19,838.25, 29,757.38 and 5,987.25 is: 8,980.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838.25 : 29,757.38 = 5,987.25 : x
  2. Step 2: Convert to fraction form
    19,838.25/29,757.38 = 5,987.25/x
  3. Step 3: Cross multiply
    19,838.25x = 29,757.38 × 5,987.25
  4. Step 4: Simplify right side
    19,838.25x = 178,164,843.47
  5. Step 5: Solve for x
    x = 178,164,843.47/19,838.25
  6. Step 6: Final answer
    x = 8,980.88

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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.