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Finding the Fourth Proportional to 15,879.15, 21,911.65 and 9,166.94

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Solution

The fourth proportional to 15,879.15, 21,911.65 and 9,166.94 is: 12,649.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,879.15 : 21,911.65 = 9,166.94 : x
  2. Step 2: Convert to fraction form
    15,879.15/21,911.65 = 9,166.94/x
  3. Step 3: Cross multiply
    15,879.15x = 21,911.65 × 9,166.94
  4. Step 4: Simplify right side
    15,879.15x = 200,862,780.85
  5. Step 5: Solve for x
    x = 200,862,780.85/15,879.15
  6. Step 6: Final answer
    x = 12,649.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.