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Finding the Fourth Proportional to 14,415.92, 21,630.16 and 5,647.80

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Solution

The fourth proportional to 14,415.92, 21,630.16 and 5,647.80 is: 8,474.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,415.92 : 21,630.16 = 5,647.80 : x
  2. Step 2: Convert to fraction form
    14,415.92/21,630.16 = 5,647.80/x
  3. Step 3: Cross multiply
    14,415.92x = 21,630.16 × 5,647.80
  4. Step 4: Simplify right side
    14,415.92x = 122,162,817.65
  5. Step 5: Solve for x
    x = 122,162,817.65/14,415.92
  6. Step 6: Final answer
    x = 8,474.16

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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.