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Finding the Fourth Proportional to 12,911.90, 19,318.97 and 7,649.73

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Solution

The fourth proportional to 12,911.90, 19,318.97 and 7,649.73 is: 11,445.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,911.90 : 19,318.97 = 7,649.73 : x
  2. Step 2: Convert to fraction form
    12,911.90/19,318.97 = 7,649.73/x
  3. Step 3: Cross multiply
    12,911.90x = 19,318.97 × 7,649.73
  4. Step 4: Simplify right side
    12,911.90x = 147,784,866.13
  5. Step 5: Solve for x
    x = 147,784,866.13/12,911.90
  6. Step 6: Final answer
    x = 11,445.64

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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.