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Finding the Fourth Proportional to 23,114.21, 31,897.09 and 13,042.39

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Solution

The fourth proportional to 23,114.21, 31,897.09 and 13,042.39 is: 17,998.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,114.21 : 31,897.09 = 13,042.39 : x
  2. Step 2: Convert to fraction form
    23,114.21/31,897.09 = 13,042.39/x
  3. Step 3: Cross multiply
    23,114.21x = 31,897.09 × 13,042.39
  4. Step 4: Simplify right side
    23,114.21x = 416,014,373.72
  5. Step 5: Solve for x
    x = 416,014,373.72/23,114.21
  6. Step 6: Final answer
    x = 17,998.21

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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.