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Finding the Fourth Proportional to 23,186.80, 34,780.74 and 5,656.96

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Solution

The fourth proportional to 23,186.80, 34,780.74 and 5,656.96 is: 8,485.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,186.80 : 34,780.74 = 5,656.96 : x
  2. Step 2: Convert to fraction form
    23,186.80/34,780.74 = 5,656.96/x
  3. Step 3: Cross multiply
    23,186.80x = 34,780.74 × 5,656.96
  4. Step 4: Simplify right side
    23,186.80x = 196,753,254.95
  5. Step 5: Solve for x
    x = 196,753,254.95/23,186.80
  6. Step 6: Final answer
    x = 8,485.57

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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.