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Finding the Fourth Proportional to 22,657.01, 31,265.33 and 12,584.86

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Solution

The fourth proportional to 22,657.01, 31,265.33 and 12,584.86 is: 17,366.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,657.01 : 31,265.33 = 12,584.86 : x
  2. Step 2: Convert to fraction form
    22,657.01/31,265.33 = 12,584.86/x
  3. Step 3: Cross multiply
    22,657.01x = 31,265.33 × 12,584.86
  4. Step 4: Simplify right side
    22,657.01x = 393,469,659.82
  5. Step 5: Solve for x
    x = 393,469,659.82/22,657.01
  6. Step 6: Final answer
    x = 17,366.36

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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.