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Finding the Fourth Proportional to 13,511.64, 20,269.49 and 4,745.01

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Solution

The fourth proportional to 13,511.64, 20,269.49 and 4,745.01 is: 7,118.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,511.64 : 20,269.49 = 4,745.01 : x
  2. Step 2: Convert to fraction form
    13,511.64/20,269.49 = 4,745.01/x
  3. Step 3: Cross multiply
    13,511.64x = 20,269.49 × 4,745.01
  4. Step 4: Simplify right side
    13,511.64x = 96,178,932.74
  5. Step 5: Solve for x
    x = 96,178,932.74/13,511.64
  6. Step 6: Final answer
    x = 7,118.23

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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.