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Finding the Fourth Proportional to 27,666.40, 38,177.76 and 15,090.88

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Solution

The fourth proportional to 27,666.40, 38,177.76 and 15,090.88 is: 20,824.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,666.40 : 38,177.76 = 15,090.88 : x
  2. Step 2: Convert to fraction form
    27,666.40/38,177.76 = 15,090.88/x
  3. Step 3: Cross multiply
    27,666.40x = 38,177.76 × 15,090.88
  4. Step 4: Simplify right side
    27,666.40x = 576,135,994.83
  5. Step 5: Solve for x
    x = 576,135,994.83/27,666.40
  6. Step 6: Final answer
    x = 20,824.39

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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.