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Finding the Fourth Proportional to 22,599, 33,898.50 and 7,016.63

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Solution

The fourth proportional to 22,599, 33,898.50 and 7,016.63 is: 10,524.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,599 : 33,898.50 = 7,016.63 : x
  2. Step 2: Convert to fraction form
    22,599/33,898.50 = 7,016.63/x
  3. Step 3: Cross multiply
    22,599x = 33,898.50 × 7,016.63
  4. Step 4: Simplify right side
    22,599x = 237,853,062.56
  5. Step 5: Solve for x
    x = 237,853,062.56/22,599
  6. Step 6: Final answer
    x = 10,524.94

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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.