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Finding the Fourth Proportional to 20,428.38, 28,193.77 and 12,468.90

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Solution

The fourth proportional to 20,428.38, 28,193.77 and 12,468.90 is: 17,208.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,428.38 : 28,193.77 = 12,468.90 : x
  2. Step 2: Convert to fraction form
    20,428.38/28,193.77 = 12,468.90/x
  3. Step 3: Cross multiply
    20,428.38x = 28,193.77 × 12,468.90
  4. Step 4: Simplify right side
    20,428.38x = 351,545,298.75
  5. Step 5: Solve for x
    x = 351,545,298.75/20,428.38
  6. Step 6: Final answer
    x = 17,208.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.