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Finding the Fourth Proportional to 13,755.84, 20,614.32 and 6,835.20

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Solution

The fourth proportional to 13,755.84, 20,614.32 and 6,835.20 is: 10,243.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,755.84 : 20,614.32 = 6,835.20 : x
  2. Step 2: Convert to fraction form
    13,755.84/20,614.32 = 6,835.20/x
  3. Step 3: Cross multiply
    13,755.84x = 20,614.32 × 6,835.20
  4. Step 4: Simplify right side
    13,755.84x = 140,903,000.06
  5. Step 5: Solve for x
    x = 140,903,000.06/13,755.84
  6. Step 6: Final answer
    x = 10,243.14

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Why These Related Problems?

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