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Finding the Fourth Proportional to 12,911.40, 19,318.22 and 7,649.23

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Solution

The fourth proportional to 12,911.40, 19,318.22 and 7,649.23 is: 11,444.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,911.40 : 19,318.22 = 7,649.23 : x
  2. Step 2: Convert to fraction form
    12,911.40/19,318.22 = 7,649.23/x
  3. Step 3: Cross multiply
    12,911.40x = 19,318.22 × 7,649.23
  4. Step 4: Simplify right side
    12,911.40x = 147,769,507.97
  5. Step 5: Solve for x
    x = 147,769,507.97/12,911.40
  6. Step 6: Final answer
    x = 11,444.89

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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.