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Finding the Fourth Proportional to 22,074.84, 30,430.38 and 16,113.24

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Solution

The fourth proportional to 22,074.84, 30,430.38 and 16,113.24 is: 22,212.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,074.84 : 30,430.38 = 16,113.24 : x
  2. Step 2: Convert to fraction form
    22,074.84/30,430.38 = 16,113.24/x
  3. Step 3: Cross multiply
    22,074.84x = 30,430.38 × 16,113.24
  4. Step 4: Simplify right side
    22,074.84x = 490,332,016.23
  5. Step 5: Solve for x
    x = 490,332,016.23/22,074.84
  6. Step 6: Final answer
    x = 22,212.26

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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.