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Finding the Fourth Proportional to 13,029.81, 19,544.73 and 9,151.53

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Solution

The fourth proportional to 13,029.81, 19,544.73 and 9,151.53 is: 13,727.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.81 : 19,544.73 = 9,151.53 : x
  2. Step 2: Convert to fraction form
    13,029.81/19,544.73 = 9,151.53/x
  3. Step 3: Cross multiply
    13,029.81x = 19,544.73 × 9,151.53
  4. Step 4: Simplify right side
    13,029.81x = 178,864,182.94
  5. Step 5: Solve for x
    x = 178,864,182.94/13,029.81
  6. Step 6: Final answer
    x = 13,727.31

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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.