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Finding the Fourth Proportional to 27,665, 38,177.98 and 15,090.02

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Solution

The fourth proportional to 27,665, 38,177.98 and 15,090.02 is: 20,824.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,665 : 38,177.98 = 15,090.02 : x
  2. Step 2: Convert to fraction form
    27,665/38,177.98 = 15,090.02/x
  3. Step 3: Cross multiply
    27,665x = 38,177.98 × 15,090.02
  4. Step 4: Simplify right side
    27,665x = 576,106,481.76
  5. Step 5: Solve for x
    x = 576,106,481.76/27,665
  6. Step 6: Final answer
    x = 20,824.38

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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.