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Finding the Fourth Proportional to 23,161.14, 31,963.64 and 13,090.01

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Solution

The fourth proportional to 23,161.14, 31,963.64 and 13,090.01 is: 18,064.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,161.14 : 31,963.64 = 13,090.01 : x
  2. Step 2: Convert to fraction form
    23,161.14/31,963.64 = 13,090.01/x
  3. Step 3: Cross multiply
    23,161.14x = 31,963.64 × 13,090.01
  4. Step 4: Simplify right side
    23,161.14x = 418,404,141.97
  5. Step 5: Solve for x
    x = 418,404,141.97/23,161.14
  6. Step 6: Final answer
    x = 18,064.92

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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.