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Finding the Fourth Proportional to 23,822.67, 35,708.80 and 8,012.65

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Solution

The fourth proportional to 23,822.67, 35,708.80 and 8,012.65 is: 12,010.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,822.67 : 35,708.80 = 8,012.65 : x
  2. Step 2: Convert to fraction form
    23,822.67/35,708.80 = 8,012.65/x
  3. Step 3: Cross multiply
    23,822.67x = 35,708.80 × 8,012.65
  4. Step 4: Simplify right side
    23,822.67x = 286,122,076.26
  5. Step 5: Solve for x
    x = 286,122,076.26/23,822.67
  6. Step 6: Final answer
    x = 12,010.50

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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.