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Finding the Fourth Proportional to 17,847.58, 24,629.82 and 9,889.97

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Solution

The fourth proportional to 17,847.58, 24,629.82 and 9,889.97 is: 13,648.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,847.58 : 24,629.82 = 9,889.97 : x
  2. Step 2: Convert to fraction form
    17,847.58/24,629.82 = 9,889.97/x
  3. Step 3: Cross multiply
    17,847.58x = 24,629.82 × 9,889.97
  4. Step 4: Simplify right side
    17,847.58x = 243,588,242.48
  5. Step 5: Solve for x
    x = 243,588,242.48/17,847.58
  6. Step 6: Final answer
    x = 13,648.25

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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.