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Finding the Fourth Proportional to 26,058.36, 39,078 and 9,414.39

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Solution

The fourth proportional to 26,058.36, 39,078 and 9,414.39 is: 14,118.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,058.36 : 39,078 = 9,414.39 : x
  2. Step 2: Convert to fraction form
    26,058.36/39,078 = 9,414.39/x
  3. Step 3: Cross multiply
    26,058.36x = 39,078 × 9,414.39
  4. Step 4: Simplify right side
    26,058.36x = 367,895,532.42
  5. Step 5: Solve for x
    x = 367,895,532.42/26,058.36
  6. Step 6: Final answer
    x = 14,118.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.