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Finding the Fourth Proportional to 16,213.52, 24,323.99 and 5,120.16

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Solution

The fourth proportional to 16,213.52, 24,323.99 and 5,120.16 is: 7,681.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,213.52 : 24,323.99 = 5,120.16 : x
  2. Step 2: Convert to fraction form
    16,213.52/24,323.99 = 5,120.16/x
  3. Step 3: Cross multiply
    16,213.52x = 24,323.99 × 5,120.16
  4. Step 4: Simplify right side
    16,213.52x = 124,542,695.04
  5. Step 5: Solve for x
    x = 124,542,695.04/16,213.52
  6. Step 6: Final answer
    x = 7,681.41

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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.