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Finding the Fourth Proportional to 18,778.98, 25,887.38 and 14,294.92

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Solution

The fourth proportional to 18,778.98, 25,887.38 and 14,294.92 is: 19,705.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,778.98 : 25,887.38 = 14,294.92 : x
  2. Step 2: Convert to fraction form
    18,778.98/25,887.38 = 14,294.92/x
  3. Step 3: Cross multiply
    18,778.98x = 25,887.38 × 14,294.92
  4. Step 4: Simplify right side
    18,778.98x = 370,058,026.11
  5. Step 5: Solve for x
    x = 370,058,026.11/18,778.98
  6. Step 6: Final answer
    x = 19,705.97

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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.