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Finding the Fourth Proportional to 12,185.43, 18,280.06 and 5,165.46

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Solution

The fourth proportional to 12,185.43, 18,280.06 and 5,165.46 is: 7,749.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.43 : 18,280.06 = 5,165.46 : x
  2. Step 2: Convert to fraction form
    12,185.43/18,280.06 = 5,165.46/x
  3. Step 3: Cross multiply
    12,185.43x = 18,280.06 × 5,165.46
  4. Step 4: Simplify right side
    12,185.43x = 94,424,918.73
  5. Step 5: Solve for x
    x = 94,424,918.73/12,185.43
  6. Step 6: Final answer
    x = 7,749.00

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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.