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Finding the Fourth Proportional to 22,902.50, 34,357.61 and 7,905.53

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Solution

The fourth proportional to 22,902.50, 34,357.61 and 7,905.53 is: 11,859.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,902.50 : 34,357.61 = 7,905.53 : x
  2. Step 2: Convert to fraction form
    22,902.50/34,357.61 = 7,905.53/x
  3. Step 3: Cross multiply
    22,902.50x = 34,357.61 × 7,905.53
  4. Step 4: Simplify right side
    22,902.50x = 271,615,116.58
  5. Step 5: Solve for x
    x = 271,615,116.58/22,902.50
  6. Step 6: Final answer
    x = 11,859.63

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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.