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Finding the Fourth Proportional to 16,558.52, 24,834.21 and 5,462.52

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Solution

The fourth proportional to 16,558.52, 24,834.21 and 5,462.52 is: 8,192.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,558.52 : 24,834.21 = 5,462.52 : x
  2. Step 2: Convert to fraction form
    16,558.52/24,834.21 = 5,462.52/x
  3. Step 3: Cross multiply
    16,558.52x = 24,834.21 × 5,462.52
  4. Step 4: Simplify right side
    16,558.52x = 135,657,368.81
  5. Step 5: Solve for x
    x = 135,657,368.81/16,558.52
  6. Step 6: Final answer
    x = 8,192.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.