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Finding the Fourth Proportional to 12,532.84, 18,806.32 and 5,142.49

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Solution

The fourth proportional to 12,532.84, 18,806.32 and 5,142.49 is: 7,716.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.84 : 18,806.32 = 5,142.49 : x
  2. Step 2: Convert to fraction form
    12,532.84/18,806.32 = 5,142.49/x
  3. Step 3: Cross multiply
    12,532.84x = 18,806.32 × 5,142.49
  4. Step 4: Simplify right side
    12,532.84x = 96,711,268.33
  5. Step 5: Solve for x
    x = 96,711,268.33/12,532.84
  6. Step 6: Final answer
    x = 7,716.63

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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.