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Finding the Fourth Proportional to 19,777.71, 27,292.77 and 10,825.20

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Solution

The fourth proportional to 19,777.71, 27,292.77 and 10,825.20 is: 14,938.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,777.71 : 27,292.77 = 10,825.20 : x
  2. Step 2: Convert to fraction form
    19,777.71/27,292.77 = 10,825.20/x
  3. Step 3: Cross multiply
    19,777.71x = 27,292.77 × 10,825.20
  4. Step 4: Simplify right side
    19,777.71x = 295,449,693.80
  5. Step 5: Solve for x
    x = 295,449,693.80/19,777.71
  6. Step 6: Final answer
    x = 14,938.52

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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.