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Finding the Fourth Proportional to 18,896.40, 28,337.28 and 6,414.32

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Solution

The fourth proportional to 18,896.40, 28,337.28 and 6,414.32 is: 9,619.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,896.40 : 28,337.28 = 6,414.32 : x
  2. Step 2: Convert to fraction form
    18,896.40/28,337.28 = 6,414.32/x
  3. Step 3: Cross multiply
    18,896.40x = 28,337.28 × 6,414.32
  4. Step 4: Simplify right side
    18,896.40x = 181,764,381.85
  5. Step 5: Solve for x
    x = 181,764,381.85/18,896.40
  6. Step 6: Final answer
    x = 9,619.00

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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.