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Finding the Fourth Proportional to 13,497.26, 18,626.59 and 7,530.09

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Solution

The fourth proportional to 13,497.26, 18,626.59 and 7,530.09 is: 10,391.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497.26 : 18,626.59 = 7,530.09 : x
  2. Step 2: Convert to fraction form
    13,497.26/18,626.59 = 7,530.09/x
  3. Step 3: Cross multiply
    13,497.26x = 18,626.59 × 7,530.09
  4. Step 4: Simplify right side
    13,497.26x = 140,259,899.09
  5. Step 5: Solve for x
    x = 140,259,899.09/13,497.26
  6. Step 6: Final answer
    x = 10,391.73

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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.