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Finding the Fourth Proportional to 26,147.01, 36,083.10 and 14,210.34

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Solution

The fourth proportional to 26,147.01, 36,083.10 and 14,210.34 is: 19,610.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,147.01 : 36,083.10 = 14,210.34 : x
  2. Step 2: Convert to fraction form
    26,147.01/36,083.10 = 14,210.34/x
  3. Step 3: Cross multiply
    26,147.01x = 36,083.10 × 14,210.34
  4. Step 4: Simplify right side
    26,147.01x = 512,753,119.25
  5. Step 5: Solve for x
    x = 512,753,119.25/26,147.01
  6. Step 6: Final answer
    x = 19,610.39

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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.