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Finding the Fourth Proportional to 11,020.30, 16,509.61 and 8,542.99

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Solution

The fourth proportional to 11,020.30, 16,509.61 and 8,542.99 is: 12,798.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,020.30 : 16,509.61 = 8,542.99 : x
  2. Step 2: Convert to fraction form
    11,020.30/16,509.61 = 8,542.99/x
  3. Step 3: Cross multiply
    11,020.30x = 16,509.61 × 8,542.99
  4. Step 4: Simplify right side
    11,020.30x = 141,041,433.13
  5. Step 5: Solve for x
    x = 141,041,433.13/11,020.30
  6. Step 6: Final answer
    x = 12,798.33

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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.