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Finding the Fourth Proportional to 13,806.72, 19,052.94 and 7,519.20

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Solution

The fourth proportional to 13,806.72, 19,052.94 and 7,519.20 is: 10,376.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,806.72 : 19,052.94 = 7,519.20 : x
  2. Step 2: Convert to fraction form
    13,806.72/19,052.94 = 7,519.20/x
  3. Step 3: Cross multiply
    13,806.72x = 19,052.94 × 7,519.20
  4. Step 4: Simplify right side
    13,806.72x = 143,262,866.45
  5. Step 5: Solve for x
    x = 143,262,866.45/13,806.72
  6. Step 6: Final answer
    x = 10,376.31

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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.