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Finding the Fourth Proportional to 23,818.12, 35,729.10 and 8,235.88

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Solution

The fourth proportional to 23,818.12, 35,729.10 and 8,235.88 is: 12,354.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,818.12 : 35,729.10 = 8,235.88 : x
  2. Step 2: Convert to fraction form
    23,818.12/35,729.10 = 8,235.88/x
  3. Step 3: Cross multiply
    23,818.12x = 35,729.10 × 8,235.88
  4. Step 4: Simplify right side
    23,818.12x = 294,260,580.11
  5. Step 5: Solve for x
    x = 294,260,580.11/23,818.12
  6. Step 6: Final answer
    x = 12,354.48

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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.