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Finding the Fourth Proportional to 22,957, 31,679.30 and 12,883.32

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Solution

The fourth proportional to 22,957, 31,679.30 and 12,883.32 is: 17,778.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,957 : 31,679.30 = 12,883.32 : x
  2. Step 2: Convert to fraction form
    22,957/31,679.30 = 12,883.32/x
  3. Step 3: Cross multiply
    22,957x = 31,679.30 × 12,883.32
  4. Step 4: Simplify right side
    22,957x = 408,134,559.28
  5. Step 5: Solve for x
    x = 408,134,559.28/22,957
  6. Step 6: Final answer
    x = 17,778.22

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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.