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Finding the Fourth Proportional to 19,690.52, 27,172.32 and 10,738.20

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Solution

The fourth proportional to 19,690.52, 27,172.32 and 10,738.20 is: 14,818.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,690.52 : 27,172.32 = 10,738.20 : x
  2. Step 2: Convert to fraction form
    19,690.52/27,172.32 = 10,738.20/x
  3. Step 3: Cross multiply
    19,690.52x = 27,172.32 × 10,738.20
  4. Step 4: Simplify right side
    19,690.52x = 291,781,806.62
  5. Step 5: Solve for x
    x = 291,781,806.62/19,690.52
  6. Step 6: Final answer
    x = 14,818.39

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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.