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Finding the Fourth Proportional to 20,482.74, 30,724.11 and 5,691.67

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Solution

The fourth proportional to 20,482.74, 30,724.11 and 5,691.67 is: 8,537.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,482.74 : 30,724.11 = 5,691.67 : x
  2. Step 2: Convert to fraction form
    20,482.74/30,724.11 = 5,691.67/x
  3. Step 3: Cross multiply
    20,482.74x = 30,724.11 × 5,691.67
  4. Step 4: Simplify right side
    20,482.74x = 174,871,418.35
  5. Step 5: Solve for x
    x = 174,871,418.35/20,482.74
  6. Step 6: Final answer
    x = 8,537.50

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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.