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Finding the Fourth Proportional to 20,679.50, 30,994.55 and 7,524.71

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Solution

The fourth proportional to 20,679.50, 30,994.55 and 7,524.71 is: 11,278.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,679.50 : 30,994.55 = 7,524.71 : x
  2. Step 2: Convert to fraction form
    20,679.50/30,994.55 = 7,524.71/x
  3. Step 3: Cross multiply
    20,679.50x = 30,994.55 × 7,524.71
  4. Step 4: Simplify right side
    20,679.50x = 233,224,962.71
  5. Step 5: Solve for x
    x = 233,224,962.71/20,679.50
  6. Step 6: Final answer
    x = 11,278.08

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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.