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Finding the Fourth Proportional to 22,951.58, 31,674.39 and 12,879.50

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Solution

The fourth proportional to 22,951.58, 31,674.39 and 12,879.50 is: 17,774.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,951.58 : 31,674.39 = 12,879.50 : x
  2. Step 2: Convert to fraction form
    22,951.58/31,674.39 = 12,879.50/x
  3. Step 3: Cross multiply
    22,951.58x = 31,674.39 × 12,879.50
  4. Step 4: Simplify right side
    22,951.58x = 407,950,306.01
  5. Step 5: Solve for x
    x = 407,950,306.01/22,951.58
  6. Step 6: Final answer
    x = 17,774.39

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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.