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Finding the Fourth Proportional to 22,249.49, 30,707.74 and 12,689.39

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Solution

The fourth proportional to 22,249.49, 30,707.74 and 12,689.39 is: 17,513.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,249.49 : 30,707.74 = 12,689.39 : x
  2. Step 2: Convert to fraction form
    22,249.49/30,707.74 = 12,689.39/x
  3. Step 3: Cross multiply
    22,249.49x = 30,707.74 × 12,689.39
  4. Step 4: Simplify right side
    22,249.49x = 389,662,581.51
  5. Step 5: Solve for x
    x = 389,662,581.51/22,249.49
  6. Step 6: Final answer
    x = 17,513.33

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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.