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Finding the Fourth Proportional to 15,736.32, 21,716.70 and 9,023.22

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Solution

The fourth proportional to 15,736.32, 21,716.70 and 9,023.22 is: 12,452.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,736.32 : 21,716.70 = 9,023.22 : x
  2. Step 2: Convert to fraction form
    15,736.32/21,716.70 = 9,023.22/x
  3. Step 3: Cross multiply
    15,736.32x = 21,716.70 × 9,023.22
  4. Step 4: Simplify right side
    15,736.32x = 195,954,561.77
  5. Step 5: Solve for x
    x = 195,954,561.77/15,736.32
  6. Step 6: Final answer
    x = 12,452.38

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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.