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Finding the Fourth Proportional to 22,661.67, 31,266.63 and 13,702.68

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Solution

The fourth proportional to 22,661.67, 31,266.63 and 13,702.68 is: 18,905.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,661.67 : 31,266.63 = 13,702.68 : x
  2. Step 2: Convert to fraction form
    22,661.67/31,266.63 = 13,702.68/x
  3. Step 3: Cross multiply
    22,661.67x = 31,266.63 × 13,702.68
  4. Step 4: Simplify right side
    22,661.67x = 428,436,625.57
  5. Step 5: Solve for x
    x = 428,436,625.57/22,661.67
  6. Step 6: Final answer
    x = 18,905.78

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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.