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Finding the Fourth Proportional to 14,834, 20,470.98 and 8,210

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Solution

The fourth proportional to 14,834, 20,470.98 and 8,210 is: 11,329.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,834 : 20,470.98 = 8,210 : x
  2. Step 2: Convert to fraction form
    14,834/20,470.98 = 8,210/x
  3. Step 3: Cross multiply
    14,834x = 20,470.98 × 8,210
  4. Step 4: Simplify right side
    14,834x = 168,066,745.80
  5. Step 5: Solve for x
    x = 168,066,745.80/14,834
  6. Step 6: Final answer
    x = 11,329.83

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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.