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Finding the Fourth Proportional to 12,193.66, 18,288.59 and 3,872.58

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Solution

The fourth proportional to 12,193.66, 18,288.59 and 3,872.58 is: 5,808.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,193.66 : 18,288.59 = 3,872.58 : x
  2. Step 2: Convert to fraction form
    12,193.66/18,288.59 = 3,872.58/x
  3. Step 3: Cross multiply
    12,193.66x = 18,288.59 × 3,872.58
  4. Step 4: Simplify right side
    12,193.66x = 70,824,084.34
  5. Step 5: Solve for x
    x = 70,824,084.34/12,193.66
  6. Step 6: Final answer
    x = 5,808.27

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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.