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Finding the Fourth Proportional to 22,430.60, 33,644.68 and 6,847

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Solution

The fourth proportional to 22,430.60, 33,644.68 and 6,847 is: 10,270.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,430.60 : 33,644.68 = 6,847 : x
  2. Step 2: Convert to fraction form
    22,430.60/33,644.68 = 6,847/x
  3. Step 3: Cross multiply
    22,430.60x = 33,644.68 × 6,847
  4. Step 4: Simplify right side
    22,430.60x = 230,365,123.96
  5. Step 5: Solve for x
    x = 230,365,123.96/22,430.60
  6. Step 6: Final answer
    x = 10,270.13

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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.