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Finding the Fourth Proportional to 30,206.54, 41,684.16 and 17,286.14

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Solution

The fourth proportional to 30,206.54, 41,684.16 and 17,286.14 is: 23,854.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,206.54 : 41,684.16 = 17,286.14 : x
  2. Step 2: Convert to fraction form
    30,206.54/41,684.16 = 17,286.14/x
  3. Step 3: Cross multiply
    30,206.54x = 41,684.16 × 17,286.14
  4. Step 4: Simplify right side
    30,206.54x = 720,558,225.54
  5. Step 5: Solve for x
    x = 720,558,225.54/30,206.54
  6. Step 6: Final answer
    x = 23,854.38

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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.