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Finding the Fourth Proportional to 14,834.50, 20,471.61 and 8,210.50

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Solution

The fourth proportional to 14,834.50, 20,471.61 and 8,210.50 is: 11,330.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,834.50 : 20,471.61 = 8,210.50 : x
  2. Step 2: Convert to fraction form
    14,834.50/20,471.61 = 8,210.50/x
  3. Step 3: Cross multiply
    14,834.50x = 20,471.61 × 8,210.50
  4. Step 4: Simplify right side
    14,834.50x = 168,082,153.91
  5. Step 5: Solve for x
    x = 168,082,153.91/14,834.50
  6. Step 6: Final answer
    x = 11,330.49

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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.