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Finding the Fourth Proportional to 14,661.50, 20,232.36 and 8,689.62

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Solution

The fourth proportional to 14,661.50, 20,232.36 and 8,689.62 is: 11,991.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,661.50 : 20,232.36 = 8,689.62 : x
  2. Step 2: Convert to fraction form
    14,661.50/20,232.36 = 8,689.62/x
  3. Step 3: Cross multiply
    14,661.50x = 20,232.36 × 8,689.62
  4. Step 4: Simplify right side
    14,661.50x = 175,811,520.10
  5. Step 5: Solve for x
    x = 175,811,520.10/14,661.50
  6. Step 6: Final answer
    x = 11,991.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.