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Finding the Fourth Proportional to 13,946, 20,923.32 and 5,738

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Solution

The fourth proportional to 13,946, 20,923.32 and 5,738 is: 8,608.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,946 : 20,923.32 = 5,738 : x
  2. Step 2: Convert to fraction form
    13,946/20,923.32 = 5,738/x
  3. Step 3: Cross multiply
    13,946x = 20,923.32 × 5,738
  4. Step 4: Simplify right side
    13,946x = 120,058,010.16
  5. Step 5: Solve for x
    x = 120,058,010.16/13,946
  6. Step 6: Final answer
    x = 8,608.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.