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Finding the Fourth Proportional to 14,213.52, 19,614.66 and 8,245.64

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Solution

The fourth proportional to 14,213.52, 19,614.66 and 8,245.64 is: 11,378.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,213.52 : 19,614.66 = 8,245.64 : x
  2. Step 2: Convert to fraction form
    14,213.52/19,614.66 = 8,245.64/x
  3. Step 3: Cross multiply
    14,213.52x = 19,614.66 × 8,245.64
  4. Step 4: Simplify right side
    14,213.52x = 161,735,425.08
  5. Step 5: Solve for x
    x = 161,735,425.08/14,213.52
  6. Step 6: Final answer
    x = 11,378.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.