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Finding the Fourth Proportional to 13,441.81, 20,149.58 and 6,048.13

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Solution

The fourth proportional to 13,441.81, 20,149.58 and 6,048.13 is: 9,066.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,441.81 : 20,149.58 = 6,048.13 : x
  2. Step 2: Convert to fraction form
    13,441.81/20,149.58 = 6,048.13/x
  3. Step 3: Cross multiply
    13,441.81x = 20,149.58 × 6,048.13
  4. Step 4: Simplify right side
    13,441.81x = 121,867,249.04
  5. Step 5: Solve for x
    x = 121,867,249.04/13,441.81
  6. Step 6: Final answer
    x = 9,066.28

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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.