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Finding the Fourth Proportional to 14,227.53, 21,322.94 and 6,816.57

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Solution

The fourth proportional to 14,227.53, 21,322.94 and 6,816.57 is: 10,216.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,227.53 : 21,322.94 = 6,816.57 : x
  2. Step 2: Convert to fraction form
    14,227.53/21,322.94 = 6,816.57/x
  3. Step 3: Cross multiply
    14,227.53x = 21,322.94 × 6,816.57
  4. Step 4: Simplify right side
    14,227.53x = 145,349,279.03
  5. Step 5: Solve for x
    x = 145,349,279.03/14,227.53
  6. Step 6: Final answer
    x = 10,216.06

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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.