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Finding the Fourth Proportional to 14,591.70, 21,883.23 and 7,662.42

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Solution

The fourth proportional to 14,591.70, 21,883.23 and 7,662.42 is: 11,491.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,591.70 : 21,883.23 = 7,662.42 : x
  2. Step 2: Convert to fraction form
    14,591.70/21,883.23 = 7,662.42/x
  3. Step 3: Cross multiply
    14,591.70x = 21,883.23 × 7,662.42
  4. Step 4: Simplify right side
    14,591.70x = 167,678,499.22
  5. Step 5: Solve for x
    x = 167,678,499.22/14,591.70
  6. Step 6: Final answer
    x = 11,491.36

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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.