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Finding the Fourth Proportional to 25,360, 34,996.92 and 14,182

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Solution

The fourth proportional to 25,360, 34,996.92 and 14,182 is: 19,571.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,360 : 34,996.92 = 14,182 : x
  2. Step 2: Convert to fraction form
    25,360/34,996.92 = 14,182/x
  3. Step 3: Cross multiply
    25,360x = 34,996.92 × 14,182
  4. Step 4: Simplify right side
    25,360x = 496,326,319.44
  5. Step 5: Solve for x
    x = 496,326,319.44/25,360
  6. Step 6: Final answer
    x = 19,571.23

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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.