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Finding the Fourth Proportional to 13,052.44, 19,586.22 and 5,259.16

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Solution

The fourth proportional to 13,052.44, 19,586.22 and 5,259.16 is: 7,891.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,052.44 : 19,586.22 = 5,259.16 : x
  2. Step 2: Convert to fraction form
    13,052.44/19,586.22 = 5,259.16/x
  3. Step 3: Cross multiply
    13,052.44x = 19,586.22 × 5,259.16
  4. Step 4: Simplify right side
    13,052.44x = 103,007,064.78
  5. Step 5: Solve for x
    x = 103,007,064.78/13,052.44
  6. Step 6: Final answer
    x = 7,891.79

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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.