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Finding the Fourth Proportional to 23,834.51, 35,751.78 and 8,252.15

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Solution

The fourth proportional to 23,834.51, 35,751.78 and 8,252.15 is: 12,378.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,834.51 : 35,751.78 = 8,252.15 : x
  2. Step 2: Convert to fraction form
    23,834.51/35,751.78 = 8,252.15/x
  3. Step 3: Cross multiply
    23,834.51x = 35,751.78 × 8,252.15
  4. Step 4: Simplify right side
    23,834.51x = 295,029,051.33
  5. Step 5: Solve for x
    x = 295,029,051.33/23,834.51
  6. Step 6: Final answer
    x = 12,378.23

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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.