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Finding the Fourth Proportional to 22,917.77, 34,379.95 and 8,691.48

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Solution

The fourth proportional to 22,917.77, 34,379.95 and 8,691.48 is: 13,038.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,917.77 : 34,379.95 = 8,691.48 : x
  2. Step 2: Convert to fraction form
    22,917.77/34,379.95 = 8,691.48/x
  3. Step 3: Cross multiply
    22,917.77x = 34,379.95 × 8,691.48
  4. Step 4: Simplify right side
    22,917.77x = 298,812,647.83
  5. Step 5: Solve for x
    x = 298,812,647.83/22,917.77
  6. Step 6: Final answer
    x = 13,038.47

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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.