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Finding the Fourth Proportional to 14,206.68, 21,312.09 and 4,344.66

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Solution

The fourth proportional to 14,206.68, 21,312.09 and 4,344.66 is: 6,517.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.68 : 21,312.09 = 4,344.66 : x
  2. Step 2: Convert to fraction form
    14,206.68/21,312.09 = 4,344.66/x
  3. Step 3: Cross multiply
    14,206.68x = 21,312.09 × 4,344.66
  4. Step 4: Simplify right side
    14,206.68x = 92,593,784.94
  5. Step 5: Solve for x
    x = 92,593,784.94/14,206.68
  6. Step 6: Final answer
    x = 6,517.62

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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.