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Finding the Fourth Proportional to 24,334.81, 36,502 and 7,694.86

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Solution

The fourth proportional to 24,334.81, 36,502 and 7,694.86 is: 11,542.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,334.81 : 36,502 = 7,694.86 : x
  2. Step 2: Convert to fraction form
    24,334.81/36,502 = 7,694.86/x
  3. Step 3: Cross multiply
    24,334.81x = 36,502 × 7,694.86
  4. Step 4: Simplify right side
    24,334.81x = 280,877,597.21
  5. Step 5: Solve for x
    x = 280,877,597.21/24,334.81
  6. Step 6: Final answer
    x = 11,542.21

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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.