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Finding the Fourth Proportional to 23,083.38, 31,858.14 and 13,014

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Solution

The fourth proportional to 23,083.38, 31,858.14 and 13,014 is: 17,961.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,083.38 : 31,858.14 = 13,014 : x
  2. Step 2: Convert to fraction form
    23,083.38/31,858.14 = 13,014/x
  3. Step 3: Cross multiply
    23,083.38x = 31,858.14 × 13,014
  4. Step 4: Simplify right side
    23,083.38x = 414,601,833.96
  5. Step 5: Solve for x
    x = 414,601,833.96/23,083.38
  6. Step 6: Final answer
    x = 17,961.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.