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Finding the Fourth Proportional to 12,991.40, 19,487.09 and 7,440.89

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Solution

The fourth proportional to 12,991.40, 19,487.09 and 7,440.89 is: 11,161.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991.40 : 19,487.09 = 7,440.89 : x
  2. Step 2: Convert to fraction form
    12,991.40/19,487.09 = 7,440.89/x
  3. Step 3: Cross multiply
    12,991.40x = 19,487.09 × 7,440.89
  4. Step 4: Simplify right side
    12,991.40x = 145,001,293.11
  5. Step 5: Solve for x
    x = 145,001,293.11/12,991.40
  6. Step 6: Final answer
    x = 11,161.33

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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.