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Finding the Fourth Proportional to 22,810.82, 34,218.25 and 8,019.86

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Solution

The fourth proportional to 22,810.82, 34,218.25 and 8,019.86 is: 12,030.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,810.82 : 34,218.25 = 8,019.86 : x
  2. Step 2: Convert to fraction form
    22,810.82/34,218.25 = 8,019.86/x
  3. Step 3: Cross multiply
    22,810.82x = 34,218.25 × 8,019.86
  4. Step 4: Simplify right side
    22,810.82x = 274,425,383.30
  5. Step 5: Solve for x
    x = 274,425,383.30/22,810.82
  6. Step 6: Final answer
    x = 12,030.49

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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.