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Finding the Fourth Proportional to 12,189.49, 18,284.23 and 2,955.49

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Solution

The fourth proportional to 12,189.49, 18,284.23 and 2,955.49 is: 4,433.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.49 : 18,284.23 = 2,955.49 : x
  2. Step 2: Convert to fraction form
    12,189.49/18,284.23 = 2,955.49/x
  3. Step 3: Cross multiply
    12,189.49x = 18,284.23 × 2,955.49
  4. Step 4: Simplify right side
    12,189.49x = 54,038,767.50
  5. Step 5: Solve for x
    x = 54,038,767.50/12,189.49
  6. Step 6: Final answer
    x = 4,433.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.