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Finding the Fourth Proportional to 13,834.84, 20,753.22 and 4,345.84

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Solution

The fourth proportional to 13,834.84, 20,753.22 and 4,345.84 is: 6,519.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,834.84 : 20,753.22 = 4,345.84 : x
  2. Step 2: Convert to fraction form
    13,834.84/20,753.22 = 4,345.84/x
  3. Step 3: Cross multiply
    13,834.84x = 20,753.22 × 4,345.84
  4. Step 4: Simplify right side
    13,834.84x = 90,190,173.60
  5. Step 5: Solve for x
    x = 90,190,173.60/13,834.84
  6. Step 6: Final answer
    x = 6,519.06

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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.