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Finding the Fourth Proportional to 23,818.95, 35,729.82 and 8,022.66

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Solution

The fourth proportional to 23,818.95, 35,729.82 and 8,022.66 is: 12,034.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,818.95 : 35,729.82 = 8,022.66 : x
  2. Step 2: Convert to fraction form
    23,818.95/35,729.82 = 8,022.66/x
  3. Step 3: Cross multiply
    23,818.95x = 35,729.82 × 8,022.66
  4. Step 4: Simplify right side
    23,818.95x = 286,648,197.72
  5. Step 5: Solve for x
    x = 286,648,197.72/23,818.95
  6. Step 6: Final answer
    x = 12,034.46

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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.