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Finding the Fourth Proportional to 29,184.12, 43,768.80 and 8,407.60

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Solution

The fourth proportional to 29,184.12, 43,768.80 and 8,407.60 is: 12,609.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,184.12 : 43,768.80 = 8,407.60 : x
  2. Step 2: Convert to fraction form
    29,184.12/43,768.80 = 8,407.60/x
  3. Step 3: Cross multiply
    29,184.12x = 43,768.80 × 8,407.60
  4. Step 4: Simplify right side
    29,184.12x = 367,990,562.88
  5. Step 5: Solve for x
    x = 367,990,562.88/29,184.12
  6. Step 6: Final answer
    x = 12,609.27

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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.