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Finding the Fourth Proportional to 18,654.93, 27,784.78 and 18,564.12

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Solution

The fourth proportional to 18,654.93, 27,784.78 and 18,564.12 is: 27,649.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,654.93 : 27,784.78 = 18,564.12 : x
  2. Step 2: Convert to fraction form
    18,654.93/27,784.78 = 18,564.12/x
  3. Step 3: Cross multiply
    18,654.93x = 27,784.78 × 18,564.12
  4. Step 4: Simplify right side
    18,654.93x = 515,799,943.68
  5. Step 5: Solve for x
    x = 515,799,943.68/18,654.93
  6. Step 6: Final answer
    x = 27,649.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.