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Finding the Fourth Proportional to 25,696.84, 35,461.38 and 16,273.12

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Solution

The fourth proportional to 25,696.84, 35,461.38 and 16,273.12 is: 22,456.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,696.84 : 35,461.38 = 16,273.12 : x
  2. Step 2: Convert to fraction form
    25,696.84/35,461.38 = 16,273.12/x
  3. Step 3: Cross multiply
    25,696.84x = 35,461.38 × 16,273.12
  4. Step 4: Simplify right side
    25,696.84x = 577,067,292.11
  5. Step 5: Solve for x
    x = 577,067,292.11/25,696.84
  6. Step 6: Final answer
    x = 22,456.74

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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.