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Finding the Fourth Proportional to 22,961.93, 31,702.41 and 14,014.62

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Solution

The fourth proportional to 22,961.93, 31,702.41 and 14,014.62 is: 19,349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,961.93 : 31,702.41 = 14,014.62 : x
  2. Step 2: Convert to fraction form
    22,961.93/31,702.41 = 14,014.62/x
  3. Step 3: Cross multiply
    22,961.93x = 31,702.41 × 14,014.62
  4. Step 4: Simplify right side
    22,961.93x = 444,297,229.23
  5. Step 5: Solve for x
    x = 444,297,229.23/22,961.93
  6. Step 6: Final answer
    x = 19,349.30

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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.