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Finding the Fourth Proportional to 24,219, 36,318.78 and 11,728.80

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Solution

The fourth proportional to 24,219, 36,318.78 and 11,728.80 is: 17,588.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,219 : 36,318.78 = 11,728.80 : x
  2. Step 2: Convert to fraction form
    24,219/36,318.78 = 11,728.80/x
  3. Step 3: Cross multiply
    24,219x = 36,318.78 × 11,728.80
  4. Step 4: Simplify right side
    24,219x = 425,975,706.86
  5. Step 5: Solve for x
    x = 425,975,706.86/24,219
  6. Step 6: Final answer
    x = 17,588.49

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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.