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Finding the Fourth Proportional to 24,801.44, 37,204.79 and 10,008

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Solution

The fourth proportional to 24,801.44, 37,204.79 and 10,008 is: 15,013.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,801.44 : 37,204.79 = 10,008 : x
  2. Step 2: Convert to fraction form
    24,801.44/37,204.79 = 10,008/x
  3. Step 3: Cross multiply
    24,801.44x = 37,204.79 × 10,008
  4. Step 4: Simplify right side
    24,801.44x = 372,345,488.28
  5. Step 5: Solve for x
    x = 372,345,488.28/24,801.44
  6. Step 6: Final answer
    x = 15,013.06

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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.