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Finding the Fourth Proportional to 14,046.65, 21,069.57 and 5,724.60

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Solution

The fourth proportional to 14,046.65, 21,069.57 and 5,724.60 is: 8,586.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,046.65 : 21,069.57 = 5,724.60 : x
  2. Step 2: Convert to fraction form
    14,046.65/21,069.57 = 5,724.60/x
  3. Step 3: Cross multiply
    14,046.65x = 21,069.57 × 5,724.60
  4. Step 4: Simplify right side
    14,046.65x = 120,614,860.42
  5. Step 5: Solve for x
    x = 120,614,860.42/14,046.65
  6. Step 6: Final answer
    x = 8,586.74

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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.