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Finding the Fourth Proportional to 19,777.64, 27,293.22 and 10,825.25

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Solution

The fourth proportional to 19,777.64, 27,293.22 and 10,825.25 is: 14,938.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,777.64 : 27,293.22 = 10,825.25 : x
  2. Step 2: Convert to fraction form
    19,777.64/27,293.22 = 10,825.25/x
  3. Step 3: Cross multiply
    19,777.64x = 27,293.22 × 10,825.25
  4. Step 4: Simplify right side
    19,777.64x = 295,455,793.34
  5. Step 5: Solve for x
    x = 295,455,793.34/19,777.64
  6. Step 6: Final answer
    x = 14,938.88

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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.