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Finding the Fourth Proportional to 24,322.44, 33,565 and 13,144.44

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Solution

The fourth proportional to 24,322.44, 33,565 and 13,144.44 is: 18,139.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,322.44 : 33,565 = 13,144.44 : x
  2. Step 2: Convert to fraction form
    24,322.44/33,565 = 13,144.44/x
  3. Step 3: Cross multiply
    24,322.44x = 33,565 × 13,144.44
  4. Step 4: Simplify right side
    24,322.44x = 441,193,128.60
  5. Step 5: Solve for x
    x = 441,193,128.60/24,322.44
  6. Step 6: Final answer
    x = 18,139.34

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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.