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Finding the Fourth Proportional to 24,337.39, 36,478.05 and 10,996

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Solution

The fourth proportional to 24,337.39, 36,478.05 and 10,996 is: 16,481.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,337.39 : 36,478.05 = 10,996 : x
  2. Step 2: Convert to fraction form
    24,337.39/36,478.05 = 10,996/x
  3. Step 3: Cross multiply
    24,337.39x = 36,478.05 × 10,996
  4. Step 4: Simplify right side
    24,337.39x = 401,112,637.80
  5. Step 5: Solve for x
    x = 401,112,637.80/24,337.39
  6. Step 6: Final answer
    x = 16,481.33

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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.