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Finding the Fourth Proportional to 24,902.78, 37,365.03 and 8,265.02

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Solution

The fourth proportional to 24,902.78, 37,365.03 and 8,265.02 is: 12,401.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,902.78 : 37,365.03 = 8,265.02 : x
  2. Step 2: Convert to fraction form
    24,902.78/37,365.03 = 8,265.02/x
  3. Step 3: Cross multiply
    24,902.78x = 37,365.03 × 8,265.02
  4. Step 4: Simplify right side
    24,902.78x = 308,822,720.25
  5. Step 5: Solve for x
    x = 308,822,720.25/24,902.78
  6. Step 6: Final answer
    x = 12,401.13

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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.