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Finding the Fourth Proportional to 25,369.92, 35,010.24 and 14,192

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Solution

The fourth proportional to 25,369.92, 35,010.24 and 14,192 is: 19,584.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,369.92 : 35,010.24 = 14,192 : x
  2. Step 2: Convert to fraction form
    25,369.92/35,010.24 = 14,192/x
  3. Step 3: Cross multiply
    25,369.92x = 35,010.24 × 14,192
  4. Step 4: Simplify right side
    25,369.92x = 496,865,326.08
  5. Step 5: Solve for x
    x = 496,865,326.08/25,369.92
  6. Step 6: Final answer
    x = 19,584.82

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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.