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Finding the Fourth Proportional to 13,583.16, 18,743.74 and 7,614.68

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Solution

The fourth proportional to 13,583.16, 18,743.74 and 7,614.68 is: 10,507.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,583.16 : 18,743.74 = 7,614.68 : x
  2. Step 2: Convert to fraction form
    13,583.16/18,743.74 = 7,614.68/x
  3. Step 3: Cross multiply
    13,583.16x = 18,743.74 × 7,614.68
  4. Step 4: Simplify right side
    13,583.16x = 142,727,469.35
  5. Step 5: Solve for x
    x = 142,727,469.35/13,583.16
  6. Step 6: Final answer
    x = 10,507.68

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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.