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Finding the Fourth Proportional to 23,196.54, 34,813.26 and 8,409.68

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Solution

The fourth proportional to 23,196.54, 34,813.26 and 8,409.68 is: 12,621.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,196.54 : 34,813.26 = 8,409.68 : x
  2. Step 2: Convert to fraction form
    23,196.54/34,813.26 = 8,409.68/x
  3. Step 3: Cross multiply
    23,196.54x = 34,813.26 × 8,409.68
  4. Step 4: Simplify right side
    23,196.54x = 292,768,376.36
  5. Step 5: Solve for x
    x = 292,768,376.36/23,196.54
  6. Step 6: Final answer
    x = 12,621.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.