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Finding the Fourth Proportional to 22,897.86, 34,349.64 and 8,103.82

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Solution

The fourth proportional to 22,897.86, 34,349.64 and 8,103.82 is: 12,156.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,897.86 : 34,349.64 = 8,103.82 : x
  2. Step 2: Convert to fraction form
    22,897.86/34,349.64 = 8,103.82/x
  3. Step 3: Cross multiply
    22,897.86x = 34,349.64 × 8,103.82
  4. Step 4: Simplify right side
    22,897.86x = 278,363,299.62
  5. Step 5: Solve for x
    x = 278,363,299.62/22,897.86
  6. Step 6: Final answer
    x = 12,156.74

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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.