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Finding the Fourth Proportional to 12,245.34, 18,369 and 3,926.46

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Solution

The fourth proportional to 12,245.34, 18,369 and 3,926.46 is: 5,890.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,245.34 : 18,369 = 3,926.46 : x
  2. Step 2: Convert to fraction form
    12,245.34/18,369 = 3,926.46/x
  3. Step 3: Cross multiply
    12,245.34x = 18,369 × 3,926.46
  4. Step 4: Simplify right side
    12,245.34x = 72,125,143.74
  5. Step 5: Solve for x
    x = 72,125,143.74/12,245.34
  6. Step 6: Final answer
    x = 5,890.01

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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.