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Finding the Fourth Proportional to 14,616.85, 21,928.88 and 4,229.65

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Solution

The fourth proportional to 14,616.85, 21,928.88 and 4,229.65 is: 6,345.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,616.85 : 21,928.88 = 4,229.65 : x
  2. Step 2: Convert to fraction form
    14,616.85/21,928.88 = 4,229.65/x
  3. Step 3: Cross multiply
    14,616.85x = 21,928.88 × 4,229.65
  4. Step 4: Simplify right side
    14,616.85x = 92,751,487.29
  5. Step 5: Solve for x
    x = 92,751,487.29/14,616.85
  6. Step 6: Final answer
    x = 6,345.52

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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.