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Finding the Fourth Proportional to 13,034.66, 19,548.96 and 7,771.14

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Solution

The fourth proportional to 13,034.66, 19,548.96 and 7,771.14 is: 11,654.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,034.66 : 19,548.96 = 7,771.14 : x
  2. Step 2: Convert to fraction form
    13,034.66/19,548.96 = 7,771.14/x
  3. Step 3: Cross multiply
    13,034.66x = 19,548.96 × 7,771.14
  4. Step 4: Simplify right side
    13,034.66x = 151,917,705.01
  5. Step 5: Solve for x
    x = 151,917,705.01/13,034.66
  6. Step 6: Final answer
    x = 11,654.91

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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.