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Finding the Fourth Proportional to 25,804, 35,617.12 and 16,852.88

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Solution

The fourth proportional to 25,804, 35,617.12 and 16,852.88 is: 23,261.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,804 : 35,617.12 = 16,852.88 : x
  2. Step 2: Convert to fraction form
    25,804/35,617.12 = 16,852.88/x
  3. Step 3: Cross multiply
    25,804x = 35,617.12 × 16,852.88
  4. Step 4: Simplify right side
    25,804x = 600,251,049.31
  5. Step 5: Solve for x
    x = 600,251,049.31/25,804
  6. Step 6: Final answer
    x = 23,261.94

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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.