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Finding the Fourth Proportional to 14,321.71, 21,466.16 and 7,753.42

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Solution

The fourth proportional to 14,321.71, 21,466.16 and 7,753.42 is: 11,621.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,321.71 : 21,466.16 = 7,753.42 : x
  2. Step 2: Convert to fraction form
    14,321.71/21,466.16 = 7,753.42/x
  3. Step 3: Cross multiply
    14,321.71x = 21,466.16 × 7,753.42
  4. Step 4: Simplify right side
    14,321.71x = 166,436,008.17
  5. Step 5: Solve for x
    x = 166,436,008.17/14,321.71
  6. Step 6: Final answer
    x = 11,621.24

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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.