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Finding the Fourth Proportional to 20,905.72, 28,847.96 and 12,406.38

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Solution

The fourth proportional to 20,905.72, 28,847.96 and 12,406.38 is: 17,119.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,905.72 : 28,847.96 = 12,406.38 : x
  2. Step 2: Convert to fraction form
    20,905.72/28,847.96 = 12,406.38/x
  3. Step 3: Cross multiply
    20,905.72x = 28,847.96 × 12,406.38
  4. Step 4: Simplify right side
    20,905.72x = 357,898,700.08
  5. Step 5: Solve for x
    x = 357,898,700.08/20,905.72
  6. Step 6: Final answer
    x = 17,119.65

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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.