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Finding the Fourth Proportional to 28,221.74, 42,333.18 and 8,232.69

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Solution

The fourth proportional to 28,221.74, 42,333.18 and 8,232.69 is: 12,349.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,221.74 : 42,333.18 = 8,232.69 : x
  2. Step 2: Convert to fraction form
    28,221.74/42,333.18 = 8,232.69/x
  3. Step 3: Cross multiply
    28,221.74x = 42,333.18 × 8,232.69
  4. Step 4: Simplify right side
    28,221.74x = 348,515,947.65
  5. Step 5: Solve for x
    x = 348,515,947.65/28,221.74
  6. Step 6: Final answer
    x = 12,349.20

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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.