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Finding the Fourth Proportional to 19,627.92, 29,427.48 and 9,234

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Solution

The fourth proportional to 19,627.92, 29,427.48 and 9,234 is: 13,844.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,627.92 : 29,427.48 = 9,234 : x
  2. Step 2: Convert to fraction form
    19,627.92/29,427.48 = 9,234/x
  3. Step 3: Cross multiply
    19,627.92x = 29,427.48 × 9,234
  4. Step 4: Simplify right side
    19,627.92x = 271,733,350.32
  5. Step 5: Solve for x
    x = 271,733,350.32/19,627.92
  6. Step 6: Final answer
    x = 13,844.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.