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Finding the Fourth Proportional to 12,649.50, 17,456.58 and 7,060.50

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Solution

The fourth proportional to 12,649.50, 17,456.58 and 7,060.50 is: 9,743.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.50 : 17,456.58 = 7,060.50 : x
  2. Step 2: Convert to fraction form
    12,649.50/17,456.58 = 7,060.50/x
  3. Step 3: Cross multiply
    12,649.50x = 17,456.58 × 7,060.50
  4. Step 4: Simplify right side
    12,649.50x = 123,252,183.09
  5. Step 5: Solve for x
    x = 123,252,183.09/12,649.50
  6. Step 6: Final answer
    x = 9,743.64

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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.