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Finding the Fourth Proportional to 23,696.10, 35,544.87 and 8,113.50

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Solution

The fourth proportional to 23,696.10, 35,544.87 and 8,113.50 is: 12,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,696.10 : 35,544.87 = 8,113.50 : x
  2. Step 2: Convert to fraction form
    23,696.10/35,544.87 = 8,113.50/x
  3. Step 3: Cross multiply
    23,696.10x = 35,544.87 × 8,113.50
  4. Step 4: Simplify right side
    23,696.10x = 288,393,302.75
  5. Step 5: Solve for x
    x = 288,393,302.75/23,696.10
  6. Step 6: Final answer
    x = 12,170.50

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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.