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Finding the Fourth Proportional to 24,367.44, 33,627 and 13,756.86

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Solution

The fourth proportional to 24,367.44, 33,627 and 13,756.86 is: 18,984.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,367.44 : 33,627 = 13,756.86 : x
  2. Step 2: Convert to fraction form
    24,367.44/33,627 = 13,756.86/x
  3. Step 3: Cross multiply
    24,367.44x = 33,627 × 13,756.86
  4. Step 4: Simplify right side
    24,367.44x = 462,601,931.22
  5. Step 5: Solve for x
    x = 462,601,931.22/24,367.44
  6. Step 6: Final answer
    x = 18,984.43

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1.5x scale

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.