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Finding the Fourth Proportional to 25,192, 34,764.96 and 14,014

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Solution

The fourth proportional to 25,192, 34,764.96 and 14,014 is: 19,339.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,192 : 34,764.96 = 14,014 : x
  2. Step 2: Convert to fraction form
    25,192/34,764.96 = 14,014/x
  3. Step 3: Cross multiply
    25,192x = 34,764.96 × 14,014
  4. Step 4: Simplify right side
    25,192x = 487,196,149.44
  5. Step 5: Solve for x
    x = 487,196,149.44/25,192
  6. Step 6: Final answer
    x = 19,339.32

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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.