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Finding the Fourth Proportional to 16,999, 23,458.62 and 9,548.44

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Solution

The fourth proportional to 16,999, 23,458.62 and 9,548.44 is: 13,176.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,999 : 23,458.62 = 9,548.44 : x
  2. Step 2: Convert to fraction form
    16,999/23,458.62 = 9,548.44/x
  3. Step 3: Cross multiply
    16,999x = 23,458.62 × 9,548.44
  4. Step 4: Simplify right side
    16,999x = 223,993,225.55
  5. Step 5: Solve for x
    x = 223,993,225.55/16,999
  6. Step 6: Final answer
    x = 13,176.85

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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.