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Finding the Fourth Proportional to 25,859, 35,685.42 and 14,083

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Solution

The fourth proportional to 25,859, 35,685.42 and 14,083 is: 19,434.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,859 : 35,685.42 = 14,083 : x
  2. Step 2: Convert to fraction form
    25,859/35,685.42 = 14,083/x
  3. Step 3: Cross multiply
    25,859x = 35,685.42 × 14,083
  4. Step 4: Simplify right side
    25,859x = 502,557,769.86
  5. Step 5: Solve for x
    x = 502,557,769.86/25,859
  6. Step 6: Final answer
    x = 19,434.54

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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.