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Finding the Fourth Proportional to 12,649.06, 17,456.27 and 7,273.24

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Solution

The fourth proportional to 12,649.06, 17,456.27 and 7,273.24 is: 10,037.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.06 : 17,456.27 = 7,273.24 : x
  2. Step 2: Convert to fraction form
    12,649.06/17,456.27 = 7,273.24/x
  3. Step 3: Cross multiply
    12,649.06x = 17,456.27 × 7,273.24
  4. Step 4: Simplify right side
    12,649.06x = 126,963,641.21
  5. Step 5: Solve for x
    x = 126,963,641.21/12,649.06
  6. Step 6: Final answer
    x = 10,037.40

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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.