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Finding the Fourth Proportional to 25,219, 34,803.30 and 14,041

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Solution

The fourth proportional to 25,219, 34,803.30 and 14,041 is: 19,377.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,219 : 34,803.30 = 14,041 : x
  2. Step 2: Convert to fraction form
    25,219/34,803.30 = 14,041/x
  3. Step 3: Cross multiply
    25,219x = 34,803.30 × 14,041
  4. Step 4: Simplify right side
    25,219x = 488,673,135.30
  5. Step 5: Solve for x
    x = 488,673,135.30/25,219
  6. Step 6: Final answer
    x = 19,377.18

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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.