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Finding the Fourth Proportional to 27,640.32, 38,144.08 and 15,704

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Solution

The fourth proportional to 27,640.32, 38,144.08 and 15,704 is: 21,671.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,640.32 : 38,144.08 = 15,704 : x
  2. Step 2: Convert to fraction form
    27,640.32/38,144.08 = 15,704/x
  3. Step 3: Cross multiply
    27,640.32x = 38,144.08 × 15,704
  4. Step 4: Simplify right side
    27,640.32x = 599,014,632.32
  5. Step 5: Solve for x
    x = 599,014,632.32/27,640.32
  6. Step 6: Final answer
    x = 21,671.77

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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.