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Finding the Fourth Proportional to 12,349.71, 18,526.38 and 3,583.48

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Solution

The fourth proportional to 12,349.71, 18,526.38 and 3,583.48 is: 5,375.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,349.71 : 18,526.38 = 3,583.48 : x
  2. Step 2: Convert to fraction form
    12,349.71/18,526.38 = 3,583.48/x
  3. Step 3: Cross multiply
    12,349.71x = 18,526.38 × 3,583.48
  4. Step 4: Simplify right side
    12,349.71x = 66,388,912.20
  5. Step 5: Solve for x
    x = 66,388,912.20/12,349.71
  6. Step 6: Final answer
    x = 5,375.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.