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Finding the Fourth Proportional to 21,188.78, 31,777.11 and 8,538.50

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Solution

The fourth proportional to 21,188.78, 31,777.11 and 8,538.50 is: 12,805.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,188.78 : 31,777.11 = 8,538.50 : x
  2. Step 2: Convert to fraction form
    21,188.78/31,777.11 = 8,538.50/x
  3. Step 3: Cross multiply
    21,188.78x = 31,777.11 × 8,538.50
  4. Step 4: Simplify right side
    21,188.78x = 271,328,853.74
  5. Step 5: Solve for x
    x = 271,328,853.74/21,188.78
  6. Step 6: Final answer
    x = 12,805.31

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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.