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Finding the Fourth Proportional to 25,974, 35,844.12 and 14,796

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Solution

The fourth proportional to 25,974, 35,844.12 and 14,796 is: 20,418.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,974 : 35,844.12 = 14,796 : x
  2. Step 2: Convert to fraction form
    25,974/35,844.12 = 14,796/x
  3. Step 3: Cross multiply
    25,974x = 35,844.12 × 14,796
  4. Step 4: Simplify right side
    25,974x = 530,349,599.52
  5. Step 5: Solve for x
    x = 530,349,599.52/25,974
  6. Step 6: Final answer
    x = 20,418.48

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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.