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Finding the Fourth Proportional to 12,512.24, 18,768.40 and 5,019.20

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Solution

The fourth proportional to 12,512.24, 18,768.40 and 5,019.20 is: 7,528.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,512.24 : 18,768.40 = 5,019.20 : x
  2. Step 2: Convert to fraction form
    12,512.24/18,768.40 = 5,019.20/x
  3. Step 3: Cross multiply
    12,512.24x = 18,768.40 × 5,019.20
  4. Step 4: Simplify right side
    12,512.24x = 94,202,353.28
  5. Step 5: Solve for x
    x = 94,202,353.28/12,512.24
  6. Step 6: Final answer
    x = 7,528.82

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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.