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Finding the Fourth Proportional to 20,624.76, 30,933.19 and 5,830.11

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Solution

The fourth proportional to 20,624.76, 30,933.19 and 5,830.11 is: 8,744.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,624.76 : 30,933.19 = 5,830.11 : x
  2. Step 2: Convert to fraction form
    20,624.76/30,933.19 = 5,830.11/x
  3. Step 3: Cross multiply
    20,624.76x = 30,933.19 × 5,830.11
  4. Step 4: Simplify right side
    20,624.76x = 180,343,907.64
  5. Step 5: Solve for x
    x = 180,343,907.64/20,624.76
  6. Step 6: Final answer
    x = 8,744.05

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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.