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Finding the Fourth Proportional to 14,243.92, 21,368.34 and 6,349.24

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Solution

The fourth proportional to 14,243.92, 21,368.34 and 6,349.24 is: 9,524.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,243.92 : 21,368.34 = 6,349.24 : x
  2. Step 2: Convert to fraction form
    14,243.92/21,368.34 = 6,349.24/x
  3. Step 3: Cross multiply
    14,243.92x = 21,368.34 × 6,349.24
  4. Step 4: Simplify right side
    14,243.92x = 135,672,719.06
  5. Step 5: Solve for x
    x = 135,672,719.06/14,243.92
  6. Step 6: Final answer
    x = 9,524.96

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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.