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Finding the Fourth Proportional to 23,090.67, 31,863.92 and 13,019.13

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Solution

The fourth proportional to 23,090.67, 31,863.92 and 13,019.13 is: 17,965.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,090.67 : 31,863.92 = 13,019.13 : x
  2. Step 2: Convert to fraction form
    23,090.67/31,863.92 = 13,019.13/x
  3. Step 3: Cross multiply
    23,090.67x = 31,863.92 × 13,019.13
  4. Step 4: Simplify right side
    23,090.67x = 414,840,451.69
  5. Step 5: Solve for x
    x = 414,840,451.69/23,090.67
  6. Step 6: Final answer
    x = 17,965.72

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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.