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Finding the Fourth Proportional to 12,089.34, 18,131.88 and 3,322.16

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Solution

The fourth proportional to 12,089.34, 18,131.88 and 3,322.16 is: 4,982.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,089.34 : 18,131.88 = 3,322.16 : x
  2. Step 2: Convert to fraction form
    12,089.34/18,131.88 = 3,322.16/x
  3. Step 3: Cross multiply
    12,089.34x = 18,131.88 × 3,322.16
  4. Step 4: Simplify right side
    12,089.34x = 60,237,006.46
  5. Step 5: Solve for x
    x = 60,237,006.46/12,089.34
  6. Step 6: Final answer
    x = 4,982.65

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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.