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Finding the Fourth Proportional to 18,524.96, 27,766.32 and 9,615.20

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Solution

The fourth proportional to 18,524.96, 27,766.32 and 9,615.20 is: 14,411.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,524.96 : 27,766.32 = 9,615.20 : x
  2. Step 2: Convert to fraction form
    18,524.96/27,766.32 = 9,615.20/x
  3. Step 3: Cross multiply
    18,524.96x = 27,766.32 × 9,615.20
  4. Step 4: Simplify right side
    18,524.96x = 266,978,720.06
  5. Step 5: Solve for x
    x = 266,978,720.06/18,524.96
  6. Step 6: Final answer
    x = 14,411.84

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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.