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Finding the Fourth Proportional to 16,696.25, 23,040.86 and 9,039.60

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Solution

The fourth proportional to 16,696.25, 23,040.86 and 9,039.60 is: 12,474.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,696.25 : 23,040.86 = 9,039.60 : x
  2. Step 2: Convert to fraction form
    16,696.25/23,040.86 = 9,039.60/x
  3. Step 3: Cross multiply
    16,696.25x = 23,040.86 × 9,039.60
  4. Step 4: Simplify right side
    16,696.25x = 208,280,158.06
  5. Step 5: Solve for x
    x = 208,280,158.06/16,696.25
  6. Step 6: Final answer
    x = 12,474.67

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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.