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Finding the Fourth Proportional to 23,896.58, 35,848.31 and 8,102.99

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Solution

The fourth proportional to 23,896.58, 35,848.31 and 8,102.99 is: 12,155.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,896.58 : 35,848.31 = 8,102.99 : x
  2. Step 2: Convert to fraction form
    23,896.58/35,848.31 = 8,102.99/x
  3. Step 3: Cross multiply
    23,896.58x = 35,848.31 × 8,102.99
  4. Step 4: Simplify right side
    23,896.58x = 290,478,546.55
  5. Step 5: Solve for x
    x = 290,478,546.55/23,896.58
  6. Step 6: Final answer
    x = 12,155.66

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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.