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Finding the Fourth Proportional to 13,256.50, 19,884.87 and 4,022.50

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Solution

The fourth proportional to 13,256.50, 19,884.87 and 4,022.50 is: 6,033.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,256.50 : 19,884.87 = 4,022.50 : x
  2. Step 2: Convert to fraction form
    13,256.50/19,884.87 = 4,022.50/x
  3. Step 3: Cross multiply
    13,256.50x = 19,884.87 × 4,022.50
  4. Step 4: Simplify right side
    13,256.50x = 79,986,889.58
  5. Step 5: Solve for x
    x = 79,986,889.58/13,256.50
  6. Step 6: Final answer
    x = 6,033.79

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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.