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Finding the Fourth Proportional to 28,238.24, 38,963.76 and 17,626.16

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Solution

The fourth proportional to 28,238.24, 38,963.76 and 17,626.16 is: 24,320.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,238.24 : 38,963.76 = 17,626.16 : x
  2. Step 2: Convert to fraction form
    28,238.24/38,963.76 = 17,626.16/x
  3. Step 3: Cross multiply
    28,238.24x = 38,963.76 × 17,626.16
  4. Step 4: Simplify right side
    28,238.24x = 686,781,467.96
  5. Step 5: Solve for x
    x = 686,781,467.96/28,238.24
  6. Step 6: Final answer
    x = 24,320.97

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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.