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Finding the Fourth Proportional to 14,429.72, 21,653.22 and 5,196.44

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Solution

The fourth proportional to 14,429.72, 21,653.22 and 5,196.44 is: 7,797.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,429.72 : 21,653.22 = 5,196.44 : x
  2. Step 2: Convert to fraction form
    14,429.72/21,653.22 = 5,196.44/x
  3. Step 3: Cross multiply
    14,429.72x = 21,653.22 × 5,196.44
  4. Step 4: Simplify right side
    14,429.72x = 112,519,658.54
  5. Step 5: Solve for x
    x = 112,519,658.54/14,429.72
  6. Step 6: Final answer
    x = 7,797.77

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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.