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Finding the Fourth Proportional to 17,196.53, 25,793.72 and 6,101.75

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Solution

The fourth proportional to 17,196.53, 25,793.72 and 6,101.75 is: 9,152.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,196.53 : 25,793.72 = 6,101.75 : x
  2. Step 2: Convert to fraction form
    17,196.53/25,793.72 = 6,101.75/x
  3. Step 3: Cross multiply
    17,196.53x = 25,793.72 × 6,101.75
  4. Step 4: Simplify right side
    17,196.53x = 157,386,800.50
  5. Step 5: Solve for x
    x = 157,386,800.50/17,196.53
  6. Step 6: Final answer
    x = 9,152.24

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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.