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Finding the Fourth Proportional to 16,149.01, 24,224.91 and 4,462.24

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Solution

The fourth proportional to 16,149.01, 24,224.91 and 4,462.24 is: 6,693.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,149.01 : 24,224.91 = 4,462.24 : x
  2. Step 2: Convert to fraction form
    16,149.01/24,224.91 = 4,462.24/x
  3. Step 3: Cross multiply
    16,149.01x = 24,224.91 × 4,462.24
  4. Step 4: Simplify right side
    16,149.01x = 108,097,362.40
  5. Step 5: Solve for x
    x = 108,097,362.40/16,149.01
  6. Step 6: Final answer
    x = 6,693.75

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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.