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Finding the Fourth Proportional to 22,759.50, 31,408.11 and 12,823.50

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Solution

The fourth proportional to 22,759.50, 31,408.11 and 12,823.50 is: 17,696.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,759.50 : 31,408.11 = 12,823.50 : x
  2. Step 2: Convert to fraction form
    22,759.50/31,408.11 = 12,823.50/x
  3. Step 3: Cross multiply
    22,759.50x = 31,408.11 × 12,823.50
  4. Step 4: Simplify right side
    22,759.50x = 402,761,898.59
  5. Step 5: Solve for x
    x = 402,761,898.59/22,759.50
  6. Step 6: Final answer
    x = 17,696.43

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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.