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Finding the Fourth Proportional to 22,530.90, 33,796.80 and 6,948.50

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Solution

The fourth proportional to 22,530.90, 33,796.80 and 6,948.50 is: 10,422.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,530.90 : 33,796.80 = 6,948.50 : x
  2. Step 2: Convert to fraction form
    22,530.90/33,796.80 = 6,948.50/x
  3. Step 3: Cross multiply
    22,530.90x = 33,796.80 × 6,948.50
  4. Step 4: Simplify right side
    22,530.90x = 234,837,064.80
  5. Step 5: Solve for x
    x = 234,837,064.80/22,530.90
  6. Step 6: Final answer
    x = 10,422.89

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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.