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Finding the Fourth Proportional to 25,596, 35,324.28 and 14,418

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Solution

The fourth proportional to 25,596, 35,324.28 and 14,418 is: 19,897.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,596 : 35,324.28 = 14,418 : x
  2. Step 2: Convert to fraction form
    25,596/35,324.28 = 14,418/x
  3. Step 3: Cross multiply
    25,596x = 35,324.28 × 14,418
  4. Step 4: Simplify right side
    25,596x = 509,305,469.04
  5. Step 5: Solve for x
    x = 509,305,469.04/25,596
  6. Step 6: Final answer
    x = 19,897.85

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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.