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Finding the Fourth Proportional to 25,801.16, 35,599.38 and 16,366.28

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Solution

The fourth proportional to 25,801.16, 35,599.38 and 16,366.28 is: 22,581.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,801.16 : 35,599.38 = 16,366.28 : x
  2. Step 2: Convert to fraction form
    25,801.16/35,599.38 = 16,366.28/x
  3. Step 3: Cross multiply
    25,801.16x = 35,599.38 × 16,366.28
  4. Step 4: Simplify right side
    25,801.16x = 582,629,420.91
  5. Step 5: Solve for x
    x = 582,629,420.91/25,801.16
  6. Step 6: Final answer
    x = 22,581.52

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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.