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Finding the Fourth Proportional to 23,805.66, 35,712.54 and 8,219.64

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Solution

The fourth proportional to 23,805.66, 35,712.54 and 8,219.64 is: 12,330.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,805.66 : 35,712.54 = 8,219.64 : x
  2. Step 2: Convert to fraction form
    23,805.66/35,712.54 = 8,219.64/x
  3. Step 3: Cross multiply
    23,805.66x = 35,712.54 × 8,219.64
  4. Step 4: Simplify right side
    23,805.66x = 293,544,222.29
  5. Step 5: Solve for x
    x = 293,544,222.29/23,805.66
  6. Step 6: Final answer
    x = 12,330.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.