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Finding the Fourth Proportional to 16,993.12, 23,450.16 and 9,541.12

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Solution

The fourth proportional to 16,993.12, 23,450.16 and 9,541.12 is: 13,166.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,993.12 : 23,450.16 = 9,541.12 : x
  2. Step 2: Convert to fraction form
    16,993.12/23,450.16 = 9,541.12/x
  3. Step 3: Cross multiply
    16,993.12x = 23,450.16 × 9,541.12
  4. Step 4: Simplify right side
    16,993.12x = 223,740,790.58
  5. Step 5: Solve for x
    x = 223,740,790.58/16,993.12
  6. Step 6: Final answer
    x = 13,166.55

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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.