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Finding the Fourth Proportional to 19,777.60, 27,293.10 and 10,825.15

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Solution

The fourth proportional to 19,777.60, 27,293.10 and 10,825.15 is: 14,938.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,777.60 : 27,293.10 = 10,825.15 : x
  2. Step 2: Convert to fraction form
    19,777.60/27,293.10 = 10,825.15/x
  3. Step 3: Cross multiply
    19,777.60x = 27,293.10 × 10,825.15
  4. Step 4: Simplify right side
    19,777.60x = 295,451,908.52
  5. Step 5: Solve for x
    x = 295,451,908.52/19,777.60
  6. Step 6: Final answer
    x = 14,938.71

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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.