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Finding the Fourth Proportional to 13,834.50, 20,751.54 and 6,434.82

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Solution

The fourth proportional to 13,834.50, 20,751.54 and 6,434.82 is: 9,652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,834.50 : 20,751.54 = 6,434.82 : x
  2. Step 2: Convert to fraction form
    13,834.50/20,751.54 = 6,434.82/x
  3. Step 3: Cross multiply
    13,834.50x = 20,751.54 × 6,434.82
  4. Step 4: Simplify right side
    13,834.50x = 133,532,424.62
  5. Step 5: Solve for x
    x = 133,532,424.62/13,834.50
  6. Step 6: Final answer
    x = 9,652.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.