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Finding the Fourth Proportional to 12,185.84, 18,276.02 and 5,605.70

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Solution

The fourth proportional to 12,185.84, 18,276.02 and 5,605.70 is: 8,407.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.84 : 18,276.02 = 5,605.70 : x
  2. Step 2: Convert to fraction form
    12,185.84/18,276.02 = 5,605.70/x
  3. Step 3: Cross multiply
    12,185.84x = 18,276.02 × 5,605.70
  4. Step 4: Simplify right side
    12,185.84x = 102,449,885.31
  5. Step 5: Solve for x
    x = 102,449,885.31/12,185.84
  6. Step 6: Final answer
    x = 8,407.29

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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.