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Finding the Fourth Proportional to 18,567.90, 27,853.13 and 7,474.61

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Solution

The fourth proportional to 18,567.90, 27,853.13 and 7,474.61 is: 11,212.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,567.90 : 27,853.13 = 7,474.61 : x
  2. Step 2: Convert to fraction form
    18,567.90/27,853.13 = 7,474.61/x
  3. Step 3: Cross multiply
    18,567.90x = 27,853.13 × 7,474.61
  4. Step 4: Simplify right side
    18,567.90x = 208,191,372.35
  5. Step 5: Solve for x
    x = 208,191,372.35/18,567.90
  6. Step 6: Final answer
    x = 11,212.44

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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.