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Finding the Fourth Proportional to 22,951.86, 31,674.96 and 12,881.14

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Solution

The fourth proportional to 22,951.86, 31,674.96 and 12,881.14 is: 17,776.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,951.86 : 31,674.96 = 12,881.14 : x
  2. Step 2: Convert to fraction form
    22,951.86/31,674.96 = 12,881.14/x
  3. Step 3: Cross multiply
    22,951.86x = 31,674.96 × 12,881.14
  4. Step 4: Simplify right side
    22,951.86x = 408,009,594.25
  5. Step 5: Solve for x
    x = 408,009,594.25/22,951.86
  6. Step 6: Final answer
    x = 17,776.76

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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.