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Finding the Fourth Proportional to 13,851.62, 19,115.16 and 7,563.99

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Solution

The fourth proportional to 13,851.62, 19,115.16 and 7,563.99 is: 10,438.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,851.62 : 19,115.16 = 7,563.99 : x
  2. Step 2: Convert to fraction form
    13,851.62/19,115.16 = 7,563.99/x
  3. Step 3: Cross multiply
    13,851.62x = 19,115.16 × 7,563.99
  4. Step 4: Simplify right side
    13,851.62x = 144,586,879.09
  5. Step 5: Solve for x
    x = 144,586,879.09/13,851.62
  6. Step 6: Final answer
    x = 10,438.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.