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Finding the Fourth Proportional to 14,229.53, 21,346.97 and 5,463.77

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Solution

The fourth proportional to 14,229.53, 21,346.97 and 5,463.77 is: 8,196.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,229.53 : 21,346.97 = 5,463.77 : x
  2. Step 2: Convert to fraction form
    14,229.53/21,346.97 = 5,463.77/x
  3. Step 3: Cross multiply
    14,229.53x = 21,346.97 × 5,463.77
  4. Step 4: Simplify right side
    14,229.53x = 116,634,800.22
  5. Step 5: Solve for x
    x = 116,634,800.22/14,229.53
  6. Step 6: Final answer
    x = 8,196.68

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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.