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Finding the Fourth Proportional to 26,574.92, 36,672.03 and 14,638

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Solution

The fourth proportional to 26,574.92, 36,672.03 and 14,638 is: 20,199.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,574.92 : 36,672.03 = 14,638 : x
  2. Step 2: Convert to fraction form
    26,574.92/36,672.03 = 14,638/x
  3. Step 3: Cross multiply
    26,574.92x = 36,672.03 × 14,638
  4. Step 4: Simplify right side
    26,574.92x = 536,805,175.14
  5. Step 5: Solve for x
    x = 536,805,175.14/26,574.92
  6. Step 6: Final answer
    x = 20,199.69

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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.