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Finding the Fourth Proportional to 23,405.94, 35,108.90 and 7,823.56

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Solution

The fourth proportional to 23,405.94, 35,108.90 and 7,823.56 is: 11,735.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,405.94 : 35,108.90 = 7,823.56 : x
  2. Step 2: Convert to fraction form
    23,405.94/35,108.90 = 7,823.56/x
  3. Step 3: Cross multiply
    23,405.94x = 35,108.90 × 7,823.56
  4. Step 4: Simplify right side
    23,405.94x = 274,676,585.68
  5. Step 5: Solve for x
    x = 274,676,585.68/23,405.94
  6. Step 6: Final answer
    x = 11,735.34

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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.