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Finding the Fourth Proportional to 12,846.40, 19,231.20 and 7,649.60

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Solution

The fourth proportional to 12,846.40, 19,231.20 and 7,649.60 is: 11,451.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,846.40 : 19,231.20 = 7,649.60 : x
  2. Step 2: Convert to fraction form
    12,846.40/19,231.20 = 7,649.60/x
  3. Step 3: Cross multiply
    12,846.40x = 19,231.20 × 7,649.60
  4. Step 4: Simplify right side
    12,846.40x = 147,110,987.52
  5. Step 5: Solve for x
    x = 147,110,987.52/12,846.40
  6. Step 6: Final answer
    x = 11,451.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.