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Finding the Fourth Proportional to 22,584.32, 31,164.80 and 12,511.82

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Solution

The fourth proportional to 22,584.32, 31,164.80 and 12,511.82 is: 17,265.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,584.32 : 31,164.80 = 12,511.82 : x
  2. Step 2: Convert to fraction form
    22,584.32/31,164.80 = 12,511.82/x
  3. Step 3: Cross multiply
    22,584.32x = 31,164.80 × 12,511.82
  4. Step 4: Simplify right side
    22,584.32x = 389,928,367.94
  5. Step 5: Solve for x
    x = 389,928,367.94/22,584.32
  6. Step 6: Final answer
    x = 17,265.45

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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.