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Finding the Fourth Proportional to 12,991.96, 19,495.62 and 5,495.09

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Solution

The fourth proportional to 12,991.96, 19,495.62 and 5,495.09 is: 8,245.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,991.96 : 19,495.62 = 5,495.09 : x
  2. Step 2: Convert to fraction form
    12,991.96/19,495.62 = 5,495.09/x
  3. Step 3: Cross multiply
    12,991.96x = 19,495.62 × 5,495.09
  4. Step 4: Simplify right side
    12,991.96x = 107,130,186.51
  5. Step 5: Solve for x
    x = 107,130,186.51/12,991.96
  6. Step 6: Final answer
    x = 8,245.89

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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.