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Finding the Fourth Proportional to 13,469.88, 20,195.70 and 4,700

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Solution

The fourth proportional to 13,469.88, 20,195.70 and 4,700 is: 7,046.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,469.88 : 20,195.70 = 4,700 : x
  2. Step 2: Convert to fraction form
    13,469.88/20,195.70 = 4,700/x
  3. Step 3: Cross multiply
    13,469.88x = 20,195.70 × 4,700
  4. Step 4: Simplify right side
    13,469.88x = 94,919,790
  5. Step 5: Solve for x
    x = 94,919,790/13,469.88
  6. Step 6: Final answer
    x = 7,046.82

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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.