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Finding the Fourth Proportional to 18,241.56, 27,362.70 and 8,378.16

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Solution

The fourth proportional to 18,241.56, 27,362.70 and 8,378.16 is: 12,567.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,241.56 : 27,362.70 = 8,378.16 : x
  2. Step 2: Convert to fraction form
    18,241.56/27,362.70 = 8,378.16/x
  3. Step 3: Cross multiply
    18,241.56x = 27,362.70 × 8,378.16
  4. Step 4: Simplify right side
    18,241.56x = 229,249,078.63
  5. Step 5: Solve for x
    x = 229,249,078.63/18,241.56
  6. Step 6: Final answer
    x = 12,567.41

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1.5x scale

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.