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Finding the Fourth Proportional to 14,349.74, 21,524.61 and 6,952.94

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Solution

The fourth proportional to 14,349.74, 21,524.61 and 6,952.94 is: 10,429.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,349.74 : 21,524.61 = 6,952.94 : x
  2. Step 2: Convert to fraction form
    14,349.74/21,524.61 = 6,952.94/x
  3. Step 3: Cross multiply
    14,349.74x = 21,524.61 × 6,952.94
  4. Step 4: Simplify right side
    14,349.74x = 149,659,321.85
  5. Step 5: Solve for x
    x = 149,659,321.85/14,349.74
  6. Step 6: Final answer
    x = 10,429.41

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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.