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Finding the Fourth Proportional to 18,567.84, 27,837.15 and 9,201.42

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Solution

The fourth proportional to 18,567.84, 27,837.15 and 9,201.42 is: 13,794.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,567.84 : 27,837.15 = 9,201.42 : x
  2. Step 2: Convert to fraction form
    18,567.84/27,837.15 = 9,201.42/x
  3. Step 3: Cross multiply
    18,567.84x = 27,837.15 × 9,201.42
  4. Step 4: Simplify right side
    18,567.84x = 256,141,308.75
  5. Step 5: Solve for x
    x = 256,141,308.75/18,567.84
  6. Step 6: Final answer
    x = 13,794.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.