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Finding the Fourth Proportional to 25,334, 34,960.92 and 14,156

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Solution

The fourth proportional to 25,334, 34,960.92 and 14,156 is: 19,535.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,334 : 34,960.92 = 14,156 : x
  2. Step 2: Convert to fraction form
    25,334/34,960.92 = 14,156/x
  3. Step 3: Cross multiply
    25,334x = 34,960.92 × 14,156
  4. Step 4: Simplify right side
    25,334x = 494,906,783.52
  5. Step 5: Solve for x
    x = 494,906,783.52/25,334
  6. Step 6: Final answer
    x = 19,535.28

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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.