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Finding the Fourth Proportional to 22,833.77, 31,511.79 and 13,879.80

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Solution

The fourth proportional to 22,833.77, 31,511.79 and 13,879.80 is: 19,154.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,833.77 : 31,511.79 = 13,879.80 : x
  2. Step 2: Convert to fraction form
    22,833.77/31,511.79 = 13,879.80/x
  3. Step 3: Cross multiply
    22,833.77x = 31,511.79 × 13,879.80
  4. Step 4: Simplify right side
    22,833.77x = 437,377,342.84
  5. Step 5: Solve for x
    x = 437,377,342.84/22,833.77
  6. Step 6: Final answer
    x = 19,154.85

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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.