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Finding the Fourth Proportional to 14,782.54, 22,182.67 and 5,896.30

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Solution

The fourth proportional to 14,782.54, 22,182.67 and 5,896.30 is: 8,847.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,782.54 : 22,182.67 = 5,896.30 : x
  2. Step 2: Convert to fraction form
    14,782.54/22,182.67 = 5,896.30/x
  3. Step 3: Cross multiply
    14,782.54x = 22,182.67 × 5,896.30
  4. Step 4: Simplify right side
    14,782.54x = 130,795,677.12
  5. Step 5: Solve for x
    x = 130,795,677.12/14,782.54
  6. Step 6: Final answer
    x = 8,847.98

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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.