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Finding the Fourth Proportional to 20,146.50, 27,802.26 and 11,763

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Solution

The fourth proportional to 20,146.50, 27,802.26 and 11,763 is: 16,232.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,146.50 : 27,802.26 = 11,763 : x
  2. Step 2: Convert to fraction form
    20,146.50/27,802.26 = 11,763/x
  3. Step 3: Cross multiply
    20,146.50x = 27,802.26 × 11,763
  4. Step 4: Simplify right side
    20,146.50x = 327,037,984.38
  5. Step 5: Solve for x
    x = 327,037,984.38/20,146.50
  6. Step 6: Final answer
    x = 16,232.99

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1.5x scale

Why These Related Problems?

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