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Finding the Fourth Proportional to 24,609.75, 33,962.28 and 13,431.75

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Solution

The fourth proportional to 24,609.75, 33,962.28 and 13,431.75 is: 18,536.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,609.75 : 33,962.28 = 13,431.75 : x
  2. Step 2: Convert to fraction form
    24,609.75/33,962.28 = 13,431.75/x
  3. Step 3: Cross multiply
    24,609.75x = 33,962.28 × 13,431.75
  4. Step 4: Simplify right side
    24,609.75x = 456,172,854.39
  5. Step 5: Solve for x
    x = 456,172,854.39/24,609.75
  6. Step 6: Final answer
    x = 18,536.27

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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.