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Finding the Fourth Proportional to 14,696.64, 20,266.20 and 10,225.44

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Solution

The fourth proportional to 14,696.64, 20,266.20 and 10,225.44 is: 14,100.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,696.64 : 20,266.20 = 10,225.44 : x
  2. Step 2: Convert to fraction form
    14,696.64/20,266.20 = 10,225.44/x
  3. Step 3: Cross multiply
    14,696.64x = 20,266.20 × 10,225.44
  4. Step 4: Simplify right side
    14,696.64x = 207,230,812.13
  5. Step 5: Solve for x
    x = 207,230,812.13/14,696.64
  6. Step 6: Final answer
    x = 14,100.56

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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.