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Finding the Fourth Proportional to 18,896.16, 28,343.52 and 7,800

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Solution

The fourth proportional to 18,896.16, 28,343.52 and 7,800 is: 11,699.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,896.16 : 28,343.52 = 7,800 : x
  2. Step 2: Convert to fraction form
    18,896.16/28,343.52 = 7,800/x
  3. Step 3: Cross multiply
    18,896.16x = 28,343.52 × 7,800
  4. Step 4: Simplify right side
    18,896.16x = 221,079,456
  5. Step 5: Solve for x
    x = 221,079,456/18,896.16
  6. Step 6: Final answer
    x = 11,699.70

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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.