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Finding the Fourth Proportional to 23,840.56, 35,763.20 and 8,258.08

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Solution

The fourth proportional to 23,840.56, 35,763.20 and 8,258.08 is: 12,387.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,840.56 : 35,763.20 = 8,258.08 : x
  2. Step 2: Convert to fraction form
    23,840.56/35,763.20 = 8,258.08/x
  3. Step 3: Cross multiply
    23,840.56x = 35,763.20 × 8,258.08
  4. Step 4: Simplify right side
    23,840.56x = 295,335,366.66
  5. Step 5: Solve for x
    x = 295,335,366.66/23,840.56
  6. Step 6: Final answer
    x = 12,387.94

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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.