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Finding the Fourth Proportional to 12,286.98, 18,423.09 and 4,892.58

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Solution

The fourth proportional to 12,286.98, 18,423.09 and 4,892.58 is: 7,335.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.98 : 18,423.09 = 4,892.58 : x
  2. Step 2: Convert to fraction form
    12,286.98/18,423.09 = 4,892.58/x
  3. Step 3: Cross multiply
    12,286.98x = 18,423.09 × 4,892.58
  4. Step 4: Simplify right side
    12,286.98x = 90,136,441.67
  5. Step 5: Solve for x
    x = 90,136,441.67/12,286.98
  6. Step 6: Final answer
    x = 7,335.93

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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.