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Finding the Fourth Proportional to 22,279.50, 33,417.56 and 6,484.65

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Solution

The fourth proportional to 22,279.50, 33,417.56 and 6,484.65 is: 9,726.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,279.50 : 33,417.56 = 6,484.65 : x
  2. Step 2: Convert to fraction form
    22,279.50/33,417.56 = 6,484.65/x
  3. Step 3: Cross multiply
    22,279.50x = 33,417.56 × 6,484.65
  4. Step 4: Simplify right side
    22,279.50x = 216,701,196.67
  5. Step 5: Solve for x
    x = 216,701,196.67/22,279.50
  6. Step 6: Final answer
    x = 9,726.49

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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.