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Finding the Fourth Proportional to 24,199.50, 36,265.20 and 19,247.16

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Solution

The fourth proportional to 24,199.50, 36,265.20 and 19,247.16 is: 28,843.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,199.50 : 36,265.20 = 19,247.16 : x
  2. Step 2: Convert to fraction form
    24,199.50/36,265.20 = 19,247.16/x
  3. Step 3: Cross multiply
    24,199.50x = 36,265.20 × 19,247.16
  4. Step 4: Simplify right side
    24,199.50x = 698,002,106.83
  5. Step 5: Solve for x
    x = 698,002,106.83/24,199.50
  6. Step 6: Final answer
    x = 28,843.66

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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.