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Finding the Fourth Proportional to 14,696.87, 20,287.49 and 10,223.21

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Solution

The fourth proportional to 14,696.87, 20,287.49 and 10,223.21 is: 14,112.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,696.87 : 20,287.49 = 10,223.21 : x
  2. Step 2: Convert to fraction form
    14,696.87/20,287.49 = 10,223.21/x
  3. Step 3: Cross multiply
    14,696.87x = 20,287.49 × 10,223.21
  4. Step 4: Simplify right side
    14,696.87x = 207,403,118.09
  5. Step 5: Solve for x
    x = 207,403,118.09/14,696.87
  6. Step 6: Final answer
    x = 14,112.07

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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.