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Finding the Fourth Proportional to 17,109.92, 25,658.40 and 6,716

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Solution

The fourth proportional to 17,109.92, 25,658.40 and 6,716 is: 10,071.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,109.92 : 25,658.40 = 6,716 : x
  2. Step 2: Convert to fraction form
    17,109.92/25,658.40 = 6,716/x
  3. Step 3: Cross multiply
    17,109.92x = 25,658.40 × 6,716
  4. Step 4: Simplify right side
    17,109.92x = 172,321,814.40
  5. Step 5: Solve for x
    x = 172,321,814.40/17,109.92
  6. Step 6: Final answer
    x = 10,071.46

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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.