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Finding the Fourth Proportional to 14,399.24, 21,601.76 and 5,634

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Solution

The fourth proportional to 14,399.24, 21,601.76 and 5,634 is: 8,452.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,399.24 : 21,601.76 = 5,634 : x
  2. Step 2: Convert to fraction form
    14,399.24/21,601.76 = 5,634/x
  3. Step 3: Cross multiply
    14,399.24x = 21,601.76 × 5,634
  4. Step 4: Simplify right side
    14,399.24x = 121,704,287.67
  5. Step 5: Solve for x
    x = 121,704,287.67/14,399.24
  6. Step 6: Final answer
    x = 8,452.14

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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.