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Finding the Fourth Proportional to 22,283.86, 33,420.66 and 6,488.86

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Solution

The fourth proportional to 22,283.86, 33,420.66 and 6,488.86 is: 9,731.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,283.86 : 33,420.66 = 6,488.86 : x
  2. Step 2: Convert to fraction form
    22,283.86/33,420.66 = 6,488.86/x
  3. Step 3: Cross multiply
    22,283.86x = 33,420.66 × 6,488.86
  4. Step 4: Simplify right side
    22,283.86x = 216,861,983.85
  5. Step 5: Solve for x
    x = 216,861,983.85/22,283.86
  6. Step 6: Final answer
    x = 9,731.80

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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.