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Finding the Fourth Proportional to 13,443.14, 20,164.70 and 5,235.14

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Solution

The fourth proportional to 13,443.14, 20,164.70 and 5,235.14 is: 7,852.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,443.14 : 20,164.70 = 5,235.14 : x
  2. Step 2: Convert to fraction form
    13,443.14/20,164.70 = 5,235.14/x
  3. Step 3: Cross multiply
    13,443.14x = 20,164.70 × 5,235.14
  4. Step 4: Simplify right side
    13,443.14x = 105,565,027.56
  5. Step 5: Solve for x
    x = 105,565,027.56/13,443.14
  6. Step 6: Final answer
    x = 7,852.71

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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.