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Finding the Fourth Proportional to 13,443.82, 20,169.07 and 4,678.81

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Solution

The fourth proportional to 13,443.82, 20,169.07 and 4,678.81 is: 7,019.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,443.82 : 20,169.07 = 4,678.81 : x
  2. Step 2: Convert to fraction form
    13,443.82/20,169.07 = 4,678.81/x
  3. Step 3: Cross multiply
    13,443.82x = 20,169.07 × 4,678.81
  4. Step 4: Simplify right side
    13,443.82x = 94,367,184.29
  5. Step 5: Solve for x
    x = 94,367,184.29/13,443.82
  6. Step 6: Final answer
    x = 7,019.37

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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.