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Finding the Fourth Proportional to 23,695.68, 35,520.48 and 8,102.88

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Solution

The fourth proportional to 23,695.68, 35,520.48 and 8,102.88 is: 12,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,695.68 : 35,520.48 = 8,102.88 : x
  2. Step 2: Convert to fraction form
    23,695.68/35,520.48 = 8,102.88/x
  3. Step 3: Cross multiply
    23,695.68x = 35,520.48 × 8,102.88
  4. Step 4: Simplify right side
    23,695.68x = 287,818,186.98
  5. Step 5: Solve for x
    x = 287,818,186.98/23,695.68
  6. Step 6: Final answer
    x = 12,146.44

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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.