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Finding the Fourth Proportional to 12,412.80, 18,613.80 and 4,089.60

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Solution

The fourth proportional to 12,412.80, 18,613.80 and 4,089.60 is: 6,132.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.80 : 18,613.80 = 4,089.60 : x
  2. Step 2: Convert to fraction form
    12,412.80/18,613.80 = 4,089.60/x
  3. Step 3: Cross multiply
    12,412.80x = 18,613.80 × 4,089.60
  4. Step 4: Simplify right side
    12,412.80x = 76,122,996.48
  5. Step 5: Solve for x
    x = 76,122,996.48/12,412.80
  6. Step 6: Final answer
    x = 6,132.62

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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.