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Finding the Fourth Proportional to 24,035, 36,042.44 and 11,552.08

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Solution

The fourth proportional to 24,035, 36,042.44 and 11,552.08 is: 17,323.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,035 : 36,042.44 = 11,552.08 : x
  2. Step 2: Convert to fraction form
    24,035/36,042.44 = 11,552.08/x
  3. Step 3: Cross multiply
    24,035x = 36,042.44 × 11,552.08
  4. Step 4: Simplify right side
    24,035x = 416,365,150.28
  5. Step 5: Solve for x
    x = 416,365,150.28/24,035
  6. Step 6: Final answer
    x = 17,323.28

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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.