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Finding the Fourth Proportional to 12,276.48, 18,446.40 and 10,202.88

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Solution

The fourth proportional to 12,276.48, 18,446.40 and 10,202.88 is: 15,330.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,276.48 : 18,446.40 = 10,202.88 : x
  2. Step 2: Convert to fraction form
    12,276.48/18,446.40 = 10,202.88/x
  3. Step 3: Cross multiply
    12,276.48x = 18,446.40 × 10,202.88
  4. Step 4: Simplify right side
    12,276.48x = 188,206,405.63
  5. Step 5: Solve for x
    x = 188,206,405.63/12,276.48
  6. Step 6: Final answer
    x = 15,330.65

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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.