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Finding the Fourth Proportional to 25,294, 34,906.44 and 14,116.72

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Solution

The fourth proportional to 25,294, 34,906.44 and 14,116.72 is: 19,481.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,294 : 34,906.44 = 14,116.72 : x
  2. Step 2: Convert to fraction form
    25,294/34,906.44 = 14,116.72/x
  3. Step 3: Cross multiply
    25,294x = 34,906.44 × 14,116.72
  4. Step 4: Simplify right side
    25,294x = 492,764,439.68
  5. Step 5: Solve for x
    x = 492,764,439.68/25,294
  6. Step 6: Final answer
    x = 19,481.48

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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.