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Finding the Fourth Proportional to 14,230.94, 21,349.14 and 6,439.75

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Solution

The fourth proportional to 14,230.94, 21,349.14 and 6,439.75 is: 9,660.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,230.94 : 21,349.14 = 6,439.75 : x
  2. Step 2: Convert to fraction form
    14,230.94/21,349.14 = 6,439.75/x
  3. Step 3: Cross multiply
    14,230.94x = 21,349.14 × 6,439.75
  4. Step 4: Simplify right side
    14,230.94x = 137,483,124.32
  5. Step 5: Solve for x
    x = 137,483,124.32/14,230.94
  6. Step 6: Final answer
    x = 9,660.86

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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.