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Finding the Fourth Proportional to 20,109.10, 30,163.65 and 8,421.10

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Solution

The fourth proportional to 20,109.10, 30,163.65 and 8,421.10 is: 12,631.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,109.10 : 30,163.65 = 8,421.10 : x
  2. Step 2: Convert to fraction form
    20,109.10/30,163.65 = 8,421.10/x
  3. Step 3: Cross multiply
    20,109.10x = 30,163.65 × 8,421.10
  4. Step 4: Simplify right side
    20,109.10x = 254,011,113.02
  5. Step 5: Solve for x
    x = 254,011,113.02/20,109.10
  6. Step 6: Final answer
    x = 12,631.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.