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Finding the Fourth Proportional to 13,021.32, 19,505.86 and 5,991.54

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Solution

The fourth proportional to 13,021.32, 19,505.86 and 5,991.54 is: 8,975.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.32 : 19,505.86 = 5,991.54 : x
  2. Step 2: Convert to fraction form
    13,021.32/19,505.86 = 5,991.54/x
  3. Step 3: Cross multiply
    13,021.32x = 19,505.86 × 5,991.54
  4. Step 4: Simplify right side
    13,021.32x = 116,870,140.42
  5. Step 5: Solve for x
    x = 116,870,140.42/13,021.32
  6. Step 6: Final answer
    x = 8,975.29

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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.