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Finding the Fourth Proportional to 16,466.25, 22,723.44 and 9,394.95

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Solution

The fourth proportional to 16,466.25, 22,723.44 and 9,394.95 is: 12,965.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,466.25 : 22,723.44 = 9,394.95 : x
  2. Step 2: Convert to fraction form
    16,466.25/22,723.44 = 9,394.95/x
  3. Step 3: Cross multiply
    16,466.25x = 22,723.44 × 9,394.95
  4. Step 4: Simplify right side
    16,466.25x = 213,485,582.63
  5. Step 5: Solve for x
    x = 213,485,582.63/16,466.25
  6. Step 6: Final answer
    x = 12,965.04

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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.