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Finding the Fourth Proportional to 25,278.95, 34,891.89 and 14,672

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Solution

The fourth proportional to 25,278.95, 34,891.89 and 14,672 is: 20,251.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,278.95 : 34,891.89 = 14,672 : x
  2. Step 2: Convert to fraction form
    25,278.95/34,891.89 = 14,672/x
  3. Step 3: Cross multiply
    25,278.95x = 34,891.89 × 14,672
  4. Step 4: Simplify right side
    25,278.95x = 511,933,810.08
  5. Step 5: Solve for x
    x = 511,933,810.08/25,278.95
  6. Step 6: Final answer
    x = 20,251.39

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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.