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Finding the Fourth Proportional to 25,994.70, 35,872.65 and 14,058

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Solution

The fourth proportional to 25,994.70, 35,872.65 and 14,058 is: 19,400.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,994.70 : 35,872.65 = 14,058 : x
  2. Step 2: Convert to fraction form
    25,994.70/35,872.65 = 14,058/x
  3. Step 3: Cross multiply
    25,994.70x = 35,872.65 × 14,058
  4. Step 4: Simplify right side
    25,994.70x = 504,297,713.70
  5. Step 5: Solve for x
    x = 504,297,713.70/25,994.70
  6. Step 6: Final answer
    x = 19,400.02

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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.