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Finding the Fourth Proportional to 24,467.64, 36,698.37 and 7,829.43

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Solution

The fourth proportional to 24,467.64, 36,698.37 and 7,829.43 is: 11,743.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,467.64 : 36,698.37 = 7,829.43 : x
  2. Step 2: Convert to fraction form
    24,467.64/36,698.37 = 7,829.43/x
  3. Step 3: Cross multiply
    24,467.64x = 36,698.37 × 7,829.43
  4. Step 4: Simplify right side
    24,467.64x = 287,327,319.03
  5. Step 5: Solve for x
    x = 287,327,319.03/24,467.64
  6. Step 6: Final answer
    x = 11,743.16

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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.