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Finding the Fourth Proportional to 14,473.86, 21,661.46 and 12,136.50

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Solution

The fourth proportional to 14,473.86, 21,661.46 and 12,136.50 is: 18,163.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,473.86 : 21,661.46 = 12,136.50 : x
  2. Step 2: Convert to fraction form
    14,473.86/21,661.46 = 12,136.50/x
  3. Step 3: Cross multiply
    14,473.86x = 21,661.46 × 12,136.50
  4. Step 4: Simplify right side
    14,473.86x = 262,894,309.29
  5. Step 5: Solve for x
    x = 262,894,309.29/14,473.86
  6. Step 6: Final answer
    x = 18,163.39

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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.