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Finding the Fourth Proportional to 14,431.44, 21,647.52 and 5,071.44

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Solution

The fourth proportional to 14,431.44, 21,647.52 and 5,071.44 is: 7,607.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,431.44 : 21,647.52 = 5,071.44 : x
  2. Step 2: Convert to fraction form
    14,431.44/21,647.52 = 5,071.44/x
  3. Step 3: Cross multiply
    14,431.44x = 21,647.52 × 5,071.44
  4. Step 4: Simplify right side
    14,431.44x = 109,784,098.83
  5. Step 5: Solve for x
    x = 109,784,098.83/14,431.44
  6. Step 6: Final answer
    x = 7,607.29

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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.