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Finding the Fourth Proportional to 22,472.50, 33,704.58 and 7,479.86

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Solution

The fourth proportional to 22,472.50, 33,704.58 and 7,479.86 is: 11,218.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,472.50 : 33,704.58 = 7,479.86 : x
  2. Step 2: Convert to fraction form
    22,472.50/33,704.58 = 7,479.86/x
  3. Step 3: Cross multiply
    22,472.50x = 33,704.58 × 7,479.86
  4. Step 4: Simplify right side
    22,472.50x = 252,105,539.76
  5. Step 5: Solve for x
    x = 252,105,539.76/22,472.50
  6. Step 6: Final answer
    x = 11,218.40

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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.