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Finding the Fourth Proportional to 17,205.76, 25,793.28 and 7,836.16

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Solution

The fourth proportional to 17,205.76, 25,793.28 and 7,836.16 is: 11,747.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,205.76 : 25,793.28 = 7,836.16 : x
  2. Step 2: Convert to fraction form
    17,205.76/25,793.28 = 7,836.16/x
  3. Step 3: Cross multiply
    17,205.76x = 25,793.28 × 7,836.16
  4. Step 4: Simplify right side
    17,205.76x = 202,120,269.00
  5. Step 5: Solve for x
    x = 202,120,269.00/17,205.76
  6. Step 6: Final answer
    x = 11,747.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.