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Finding the Fourth Proportional to 13,961.54, 19,247 and 9,981.20

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Solution

The fourth proportional to 13,961.54, 19,247 and 9,981.20 is: 13,759.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,961.54 : 19,247 = 9,981.20 : x
  2. Step 2: Convert to fraction form
    13,961.54/19,247 = 9,981.20/x
  3. Step 3: Cross multiply
    13,961.54x = 19,247 × 9,981.20
  4. Step 4: Simplify right side
    13,961.54x = 192,108,156.40
  5. Step 5: Solve for x
    x = 192,108,156.40/13,961.54
  6. Step 6: Final answer
    x = 13,759.81

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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.