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Finding the Fourth Proportional to 12,349.20, 18,523.80 and 7,971.60

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Solution

The fourth proportional to 12,349.20, 18,523.80 and 7,971.60 is: 11,957.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,349.20 : 18,523.80 = 7,971.60 : x
  2. Step 2: Convert to fraction form
    12,349.20/18,523.80 = 7,971.60/x
  3. Step 3: Cross multiply
    12,349.20x = 18,523.80 × 7,971.60
  4. Step 4: Simplify right side
    12,349.20x = 147,664,324.08
  5. Step 5: Solve for x
    x = 147,664,324.08/12,349.20
  6. Step 6: Final answer
    x = 11,957.40

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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.