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Finding the Fourth Proportional to 20,344.82, 28,078.69 and 14,697.84

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Solution

The fourth proportional to 20,344.82, 28,078.69 and 14,697.84 is: 20,285.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,344.82 : 28,078.69 = 14,697.84 : x
  2. Step 2: Convert to fraction form
    20,344.82/28,078.69 = 14,697.84/x
  3. Step 3: Cross multiply
    20,344.82x = 28,078.69 × 14,697.84
  4. Step 4: Simplify right side
    20,344.82x = 412,695,989.38
  5. Step 5: Solve for x
    x = 412,695,989.38/20,344.82
  6. Step 6: Final answer
    x = 20,285.07

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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.