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Finding the Fourth Proportional to 23,474.34, 35,189.52 and 7,881

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Solution

The fourth proportional to 23,474.34, 35,189.52 and 7,881 is: 11,814.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,474.34 : 35,189.52 = 7,881 : x
  2. Step 2: Convert to fraction form
    23,474.34/35,189.52 = 7,881/x
  3. Step 3: Cross multiply
    23,474.34x = 35,189.52 × 7,881
  4. Step 4: Simplify right side
    23,474.34x = 277,328,607.12
  5. Step 5: Solve for x
    x = 277,328,607.12/23,474.34
  6. Step 6: Final answer
    x = 11,814.12

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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.