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Finding the Fourth Proportional to 12,646.29, 17,452.46 and 7,270.47

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Solution

The fourth proportional to 12,646.29, 17,452.46 and 7,270.47 is: 10,033.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,646.29 : 17,452.46 = 7,270.47 : x
  2. Step 2: Convert to fraction form
    12,646.29/17,452.46 = 7,270.47/x
  3. Step 3: Cross multiply
    12,646.29x = 17,452.46 × 7,270.47
  4. Step 4: Simplify right side
    12,646.29x = 126,887,586.86
  5. Step 5: Solve for x
    x = 126,887,586.86/12,646.29
  6. Step 6: Final answer
    x = 10,033.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.