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Finding the Fourth Proportional to 12,347.46, 18,523.01 and 3,581.23

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Solution

The fourth proportional to 12,347.46, 18,523.01 and 3,581.23 is: 5,372.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.46 : 18,523.01 = 3,581.23 : x
  2. Step 2: Convert to fraction form
    12,347.46/18,523.01 = 3,581.23/x
  3. Step 3: Cross multiply
    12,347.46x = 18,523.01 × 3,581.23
  4. Step 4: Simplify right side
    12,347.46x = 66,335,159.10
  5. Step 5: Solve for x
    x = 66,335,159.10/12,347.46
  6. Step 6: Final answer
    x = 5,372.37

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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.