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Finding the Fourth Proportional to 16,813.92, 25,186.32 and 13,509.12

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Solution

The fourth proportional to 16,813.92, 25,186.32 and 13,509.12 is: 20,235.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,813.92 : 25,186.32 = 13,509.12 : x
  2. Step 2: Convert to fraction form
    16,813.92/25,186.32 = 13,509.12/x
  3. Step 3: Cross multiply
    16,813.92x = 25,186.32 × 13,509.12
  4. Step 4: Simplify right side
    16,813.92x = 340,245,019.24
  5. Step 5: Solve for x
    x = 340,245,019.24/16,813.92
  6. Step 6: Final answer
    x = 20,235.91

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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.