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Finding the Fourth Proportional to 20,446.92, 28,210.14 and 13,378.05

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Solution

The fourth proportional to 20,446.92, 28,210.14 and 13,378.05 is: 18,457.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,446.92 : 28,210.14 = 13,378.05 : x
  2. Step 2: Convert to fraction form
    20,446.92/28,210.14 = 13,378.05/x
  3. Step 3: Cross multiply
    20,446.92x = 28,210.14 × 13,378.05
  4. Step 4: Simplify right side
    20,446.92x = 377,396,663.43
  5. Step 5: Solve for x
    x = 377,396,663.43/20,446.92
  6. Step 6: Final answer
    x = 18,457.38

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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.