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Finding the Fourth Proportional to 12,165.95, 18,246.16 and 5,585.81

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Solution

The fourth proportional to 12,165.95, 18,246.16 and 5,585.81 is: 8,377.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165.95 : 18,246.16 = 5,585.81 : x
  2. Step 2: Convert to fraction form
    12,165.95/18,246.16 = 5,585.81/x
  3. Step 3: Cross multiply
    12,165.95x = 18,246.16 × 5,585.81
  4. Step 4: Simplify right side
    12,165.95x = 101,919,601.38
  5. Step 5: Solve for x
    x = 101,919,601.38/12,165.95
  6. Step 6: Final answer
    x = 8,377.45

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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.