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Finding the Fourth Proportional to 13,097.81, 19,616.33 and 7,537.36

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Solution

The fourth proportional to 13,097.81, 19,616.33 and 7,537.36 is: 11,288.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.81 : 19,616.33 = 7,537.36 : x
  2. Step 2: Convert to fraction form
    13,097.81/19,616.33 = 7,537.36/x
  3. Step 3: Cross multiply
    13,097.81x = 19,616.33 × 7,537.36
  4. Step 4: Simplify right side
    13,097.81x = 147,855,310.89
  5. Step 5: Solve for x
    x = 147,855,310.89/13,097.81
  6. Step 6: Final answer
    x = 11,288.56

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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.