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Finding the Fourth Proportional to 12,056.32, 18,084.12 and 11,728

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Solution

The fourth proportional to 12,056.32, 18,084.12 and 11,728 is: 17,591.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,056.32 : 18,084.12 = 11,728 : x
  2. Step 2: Convert to fraction form
    12,056.32/18,084.12 = 11,728/x
  3. Step 3: Cross multiply
    12,056.32x = 18,084.12 × 11,728
  4. Step 4: Simplify right side
    12,056.32x = 212,090,559.36
  5. Step 5: Solve for x
    x = 212,090,559.36/12,056.32
  6. Step 6: Final answer
    x = 17,591.65

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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.