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Finding the Fourth Proportional to 12,264.94, 18,384.62 and 5,685.70

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Solution

The fourth proportional to 12,264.94, 18,384.62 and 5,685.70 is: 8,522.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,264.94 : 18,384.62 = 5,685.70 : x
  2. Step 2: Convert to fraction form
    12,264.94/18,384.62 = 5,685.70/x
  3. Step 3: Cross multiply
    12,264.94x = 18,384.62 × 5,685.70
  4. Step 4: Simplify right side
    12,264.94x = 104,529,433.93
  5. Step 5: Solve for x
    x = 104,529,433.93/12,264.94
  6. Step 6: Final answer
    x = 8,522.62

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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.