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Finding the Fourth Proportional to 13,111.20, 19,666.80 and 10,519.20

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Solution

The fourth proportional to 13,111.20, 19,666.80 and 10,519.20 is: 15,778.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,111.20 : 19,666.80 = 10,519.20 : x
  2. Step 2: Convert to fraction form
    13,111.20/19,666.80 = 10,519.20/x
  3. Step 3: Cross multiply
    13,111.20x = 19,666.80 × 10,519.20
  4. Step 4: Simplify right side
    13,111.20x = 206,879,002.56
  5. Step 5: Solve for x
    x = 206,879,002.56/13,111.20
  6. Step 6: Final answer
    x = 15,778.80

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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.