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Finding the Fourth Proportional to 12,001.76, 18,004.64 and 3,680.96

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Solution

The fourth proportional to 12,001.76, 18,004.64 and 3,680.96 is: 5,522.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,001.76 : 18,004.64 = 3,680.96 : x
  2. Step 2: Convert to fraction form
    12,001.76/18,004.64 = 3,680.96/x
  3. Step 3: Cross multiply
    12,001.76x = 18,004.64 × 3,680.96
  4. Step 4: Simplify right side
    12,001.76x = 66,274,359.65
  5. Step 5: Solve for x
    x = 66,274,359.65/12,001.76
  6. Step 6: Final answer
    x = 5,522.05

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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.