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Finding the Fourth Proportional to 12,298.30, 18,400.20 and 12,266.80

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Solution

The fourth proportional to 12,298.30, 18,400.20 and 12,266.80 is: 18,353.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.30 : 18,400.20 = 12,266.80 : x
  2. Step 2: Convert to fraction form
    12,298.30/18,400.20 = 12,266.80/x
  3. Step 3: Cross multiply
    12,298.30x = 18,400.20 × 12,266.80
  4. Step 4: Simplify right side
    12,298.30x = 225,711,573.36
  5. Step 5: Solve for x
    x = 225,711,573.36/12,298.30
  6. Step 6: Final answer
    x = 18,353.07

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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.