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Finding the Fourth Proportional to 24,575.82, 33,913.62 and 14,504.64

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Solution

The fourth proportional to 24,575.82, 33,913.62 and 14,504.64 is: 20,015.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,575.82 : 33,913.62 = 14,504.64 : x
  2. Step 2: Convert to fraction form
    24,575.82/33,913.62 = 14,504.64/x
  3. Step 3: Cross multiply
    24,575.82x = 33,913.62 × 14,504.64
  4. Step 4: Simplify right side
    24,575.82x = 491,904,849.20
  5. Step 5: Solve for x
    x = 491,904,849.20/24,575.82
  6. Step 6: Final answer
    x = 20,015.81

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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.