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Finding the Fourth Proportional to 16,992, 23,448.96 and 9,540.16

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Solution

The fourth proportional to 16,992, 23,448.96 and 9,540.16 is: 13,165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,992 : 23,448.96 = 9,540.16 : x
  2. Step 2: Convert to fraction form
    16,992/23,448.96 = 9,540.16/x
  3. Step 3: Cross multiply
    16,992x = 23,448.96 × 9,540.16
  4. Step 4: Simplify right side
    16,992x = 223,706,830.23
  5. Step 5: Solve for x
    x = 223,706,830.23/16,992
  6. Step 6: Final answer
    x = 13,165.42

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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.