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Finding the Fourth Proportional to 22,815.24, 31,485.08 and 12,879.24

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Solution

The fourth proportional to 22,815.24, 31,485.08 and 12,879.24 is: 17,773.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,815.24 : 31,485.08 = 12,879.24 : x
  2. Step 2: Convert to fraction form
    22,815.24/31,485.08 = 12,879.24/x
  3. Step 3: Cross multiply
    22,815.24x = 31,485.08 × 12,879.24
  4. Step 4: Simplify right side
    22,815.24x = 405,503,901.74
  5. Step 5: Solve for x
    x = 405,503,901.74/22,815.24
  6. Step 6: Final answer
    x = 17,773.38

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Why These Related Problems?

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