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Finding the Fourth Proportional to 24,728.08, 37,092.44 and 8,088

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Solution

The fourth proportional to 24,728.08, 37,092.44 and 8,088 is: 12,132.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,728.08 : 37,092.44 = 8,088 : x
  2. Step 2: Convert to fraction form
    24,728.08/37,092.44 = 8,088/x
  3. Step 3: Cross multiply
    24,728.08x = 37,092.44 × 8,088
  4. Step 4: Simplify right side
    24,728.08x = 300,003,654.72
  5. Step 5: Solve for x
    x = 300,003,654.72/24,728.08
  6. Step 6: Final answer
    x = 12,132.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.