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Finding the Fourth Proportional to 19,172, 28,640.05 and 13,861.64

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Solution

The fourth proportional to 19,172, 28,640.05 and 13,861.64 is: 20,707.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,172 : 28,640.05 = 13,861.64 : x
  2. Step 2: Convert to fraction form
    19,172/28,640.05 = 13,861.64/x
  3. Step 3: Cross multiply
    19,172x = 28,640.05 × 13,861.64
  4. Step 4: Simplify right side
    19,172x = 396,998,062.68
  5. Step 5: Solve for x
    x = 396,998,062.68/19,172
  6. Step 6: Final answer
    x = 20,707.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.