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Finding the Fourth Proportional to 24,196.86, 36,269.13 and 10,164.48

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Solution

The fourth proportional to 24,196.86, 36,269.13 and 10,164.48 is: 15,235.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,196.86 : 36,269.13 = 10,164.48 : x
  2. Step 2: Convert to fraction form
    24,196.86/36,269.13 = 10,164.48/x
  3. Step 3: Cross multiply
    24,196.86x = 36,269.13 × 10,164.48
  4. Step 4: Simplify right side
    24,196.86x = 368,656,846.50
  5. Step 5: Solve for x
    x = 368,656,846.50/24,196.86
  6. Step 6: Final answer
    x = 15,235.73

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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.