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Finding the Fourth Proportional to 14,944.34, 20,617.80 and 9,911

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Solution

The fourth proportional to 14,944.34, 20,617.80 and 9,911 is: 13,673.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,944.34 : 20,617.80 = 9,911 : x
  2. Step 2: Convert to fraction form
    14,944.34/20,617.80 = 9,911/x
  3. Step 3: Cross multiply
    14,944.34x = 20,617.80 × 9,911
  4. Step 4: Simplify right side
    14,944.34x = 204,343,015.80
  5. Step 5: Solve for x
    x = 204,343,015.80/14,944.34
  6. Step 6: Final answer
    x = 13,673.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.