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Finding the Fourth Proportional to 23,740.60, 35,611.62 and 8,158

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Solution

The fourth proportional to 23,740.60, 35,611.62 and 8,158 is: 12,237.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,740.60 : 35,611.62 = 8,158 : x
  2. Step 2: Convert to fraction form
    23,740.60/35,611.62 = 8,158/x
  3. Step 3: Cross multiply
    23,740.60x = 35,611.62 × 8,158
  4. Step 4: Simplify right side
    23,740.60x = 290,519,595.96
  5. Step 5: Solve for x
    x = 290,519,595.96/23,740.60
  6. Step 6: Final answer
    x = 12,237.25

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Why These Related Problems?

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