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Finding the Fourth Proportional to 22,743.70, 34,119.20 and 9,598.01

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Solution

The fourth proportional to 22,743.70, 34,119.20 and 9,598.01 is: 14,398.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,743.70 : 34,119.20 = 9,598.01 : x
  2. Step 2: Convert to fraction form
    22,743.70/34,119.20 = 9,598.01/x
  3. Step 3: Cross multiply
    22,743.70x = 34,119.20 × 9,598.01
  4. Step 4: Simplify right side
    22,743.70x = 327,476,374.80
  5. Step 5: Solve for x
    x = 327,476,374.80/22,743.70
  6. Step 6: Final answer
    x = 14,398.56

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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.