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Finding the Fourth Proportional to 27,997.50, 38,636.67 and 15,421.98

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Solution

The fourth proportional to 27,997.50, 38,636.67 and 15,421.98 is: 21,282.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,997.50 : 38,636.67 = 15,421.98 : x
  2. Step 2: Convert to fraction form
    27,997.50/38,636.67 = 15,421.98/x
  3. Step 3: Cross multiply
    27,997.50x = 38,636.67 × 15,421.98
  4. Step 4: Simplify right side
    27,997.50x = 595,853,952.01
  5. Step 5: Solve for x
    x = 595,853,952.01/27,997.50
  6. Step 6: Final answer
    x = 21,282.40

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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.