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Finding the Fourth Proportional to 16,808.12, 23,194.98 and 9,356.12

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Solution

The fourth proportional to 16,808.12, 23,194.98 and 9,356.12 is: 12,911.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,808.12 : 23,194.98 = 9,356.12 : x
  2. Step 2: Convert to fraction form
    16,808.12/23,194.98 = 9,356.12/x
  3. Step 3: Cross multiply
    16,808.12x = 23,194.98 × 9,356.12
  4. Step 4: Simplify right side
    16,808.12x = 217,015,016.28
  5. Step 5: Solve for x
    x = 217,015,016.28/16,808.12
  6. Step 6: Final answer
    x = 12,911.32

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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.