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Finding the Fourth Proportional to 12,302.90, 18,458.40 and 3,984.20

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Solution

The fourth proportional to 12,302.90, 18,458.40 and 3,984.20 is: 5,977.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,302.90 : 18,458.40 = 3,984.20 : x
  2. Step 2: Convert to fraction form
    12,302.90/18,458.40 = 3,984.20/x
  3. Step 3: Cross multiply
    12,302.90x = 18,458.40 × 3,984.20
  4. Step 4: Simplify right side
    12,302.90x = 73,541,957.28
  5. Step 5: Solve for x
    x = 73,541,957.28/12,302.90
  6. Step 6: Final answer
    x = 5,977.61

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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.