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Finding the Fourth Proportional to 16,136.57, 24,203.98 and 5,041.98

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Solution

The fourth proportional to 16,136.57, 24,203.98 and 5,041.98 is: 7,562.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,136.57 : 24,203.98 = 5,041.98 : x
  2. Step 2: Convert to fraction form
    16,136.57/24,203.98 = 5,041.98/x
  3. Step 3: Cross multiply
    16,136.57x = 24,203.98 × 5,041.98
  4. Step 4: Simplify right side
    16,136.57x = 122,035,983.08
  5. Step 5: Solve for x
    x = 122,035,983.08/16,136.57
  6. Step 6: Final answer
    x = 7,562.70

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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.