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Finding the Fourth Proportional to 13,065.36, 19,600.20 and 6,136.08

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Solution

The fourth proportional to 13,065.36, 19,600.20 and 6,136.08 is: 9,205.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,065.36 : 19,600.20 = 6,136.08 : x
  2. Step 2: Convert to fraction form
    13,065.36/19,600.20 = 6,136.08/x
  3. Step 3: Cross multiply
    13,065.36x = 19,600.20 × 6,136.08
  4. Step 4: Simplify right side
    13,065.36x = 120,268,395.22
  5. Step 5: Solve for x
    x = 120,268,395.22/13,065.36
  6. Step 6: Final answer
    x = 9,205.13

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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.