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Finding the Fourth Proportional to 23,198.12, 31,998.84 and 13,760

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Solution

The fourth proportional to 23,198.12, 31,998.84 and 13,760 is: 18,980.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,198.12 : 31,998.84 = 13,760 : x
  2. Step 2: Convert to fraction form
    23,198.12/31,998.84 = 13,760/x
  3. Step 3: Cross multiply
    23,198.12x = 31,998.84 × 13,760
  4. Step 4: Simplify right side
    23,198.12x = 440,304,038.40
  5. Step 5: Solve for x
    x = 440,304,038.40/23,198.12
  6. Step 6: Final answer
    x = 18,980.16

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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.