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Finding the Fourth Proportional to 15,969.16, 22,037.67 and 9,255.25

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Solution

The fourth proportional to 15,969.16, 22,037.67 and 9,255.25 is: 12,772.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,969.16 : 22,037.67 = 9,255.25 : x
  2. Step 2: Convert to fraction form
    15,969.16/22,037.67 = 9,255.25/x
  3. Step 3: Cross multiply
    15,969.16x = 22,037.67 × 9,255.25
  4. Step 4: Simplify right side
    15,969.16x = 203,964,145.27
  5. Step 5: Solve for x
    x = 203,964,145.27/15,969.16
  6. Step 6: Final answer
    x = 12,772.38

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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.