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Finding the Fourth Proportional to 12,649.87, 17,456.72 and 6,984.62

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Solution

The fourth proportional to 12,649.87, 17,456.72 and 6,984.62 is: 9,638.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,649.87 : 17,456.72 = 6,984.62 : x
  2. Step 2: Convert to fraction form
    12,649.87/17,456.72 = 6,984.62/x
  3. Step 3: Cross multiply
    12,649.87x = 17,456.72 × 6,984.62
  4. Step 4: Simplify right side
    12,649.87x = 121,928,529.47
  5. Step 5: Solve for x
    x = 121,928,529.47/12,649.87
  6. Step 6: Final answer
    x = 9,638.72

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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.