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Finding the Fourth Proportional to 16,922.36, 23,352.09 and 9,368.16

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Solution

The fourth proportional to 16,922.36, 23,352.09 and 9,368.16 is: 12,927.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,922.36 : 23,352.09 = 9,368.16 : x
  2. Step 2: Convert to fraction form
    16,922.36/23,352.09 = 9,368.16/x
  3. Step 3: Cross multiply
    16,922.36x = 23,352.09 × 9,368.16
  4. Step 4: Simplify right side
    16,922.36x = 218,766,022.11
  5. Step 5: Solve for x
    x = 218,766,022.11/16,922.36
  6. Step 6: Final answer
    x = 12,927.63

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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.