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Finding the Fourth Proportional to 14,914.50, 20,582.04 and 8,541.18

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Solution

The fourth proportional to 14,914.50, 20,582.04 and 8,541.18 is: 11,786.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,914.50 : 20,582.04 = 8,541.18 : x
  2. Step 2: Convert to fraction form
    14,914.50/20,582.04 = 8,541.18/x
  3. Step 3: Cross multiply
    14,914.50x = 20,582.04 × 8,541.18
  4. Step 4: Simplify right side
    14,914.50x = 175,794,908.41
  5. Step 5: Solve for x
    x = 175,794,908.41/14,914.50
  6. Step 6: Final answer
    x = 11,786.85

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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.