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Finding the Fourth Proportional to 17,642.12, 26,473.56 and 6,556.60

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Solution

The fourth proportional to 17,642.12, 26,473.56 and 6,556.60 is: 9,838.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,642.12 : 26,473.56 = 6,556.60 : x
  2. Step 2: Convert to fraction form
    17,642.12/26,473.56 = 6,556.60/x
  3. Step 3: Cross multiply
    17,642.12x = 26,473.56 × 6,556.60
  4. Step 4: Simplify right side
    17,642.12x = 173,576,543.50
  5. Step 5: Solve for x
    x = 173,576,543.50/17,642.12
  6. Step 6: Final answer
    x = 9,838.76

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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.