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Finding the Fourth Proportional to 23,770.08, 35,658.96 and 8,184

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Solution

The fourth proportional to 23,770.08, 35,658.96 and 8,184 is: 12,277.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,770.08 : 35,658.96 = 8,184 : x
  2. Step 2: Convert to fraction form
    23,770.08/35,658.96 = 8,184/x
  3. Step 3: Cross multiply
    23,770.08x = 35,658.96 × 8,184
  4. Step 4: Simplify right side
    23,770.08x = 291,832,928.64
  5. Step 5: Solve for x
    x = 291,832,928.64/23,770.08
  6. Step 6: Final answer
    x = 12,277.32

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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.