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Finding the Fourth Proportional to 20,433.74, 30,644.13 and 6,579.50

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Solution

The fourth proportional to 20,433.74, 30,644.13 and 6,579.50 is: 9,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,433.74 : 30,644.13 = 6,579.50 : x
  2. Step 2: Convert to fraction form
    20,433.74/30,644.13 = 6,579.50/x
  3. Step 3: Cross multiply
    20,433.74x = 30,644.13 × 6,579.50
  4. Step 4: Simplify right side
    20,433.74x = 201,623,053.34
  5. Step 5: Solve for x
    x = 201,623,053.34/20,433.74
  6. Step 6: Final answer
    x = 9,867.16

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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.