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Finding the Fourth Proportional to 25,057, 34,579.74 and 13,879

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Solution

The fourth proportional to 25,057, 34,579.74 and 13,879 is: 19,153.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,057 : 34,579.74 = 13,879 : x
  2. Step 2: Convert to fraction form
    25,057/34,579.74 = 13,879/x
  3. Step 3: Cross multiply
    25,057x = 34,579.74 × 13,879
  4. Step 4: Simplify right side
    25,057x = 479,932,211.46
  5. Step 5: Solve for x
    x = 479,932,211.46/25,057
  6. Step 6: Final answer
    x = 19,153.62

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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.