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Finding the Fourth Proportional to 19,384.44, 29,076.79 and 7,697.62

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Solution

The fourth proportional to 19,384.44, 29,076.79 and 7,697.62 is: 11,546.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,384.44 : 29,076.79 = 7,697.62 : x
  2. Step 2: Convert to fraction form
    19,384.44/29,076.79 = 7,697.62/x
  3. Step 3: Cross multiply
    19,384.44x = 29,076.79 × 7,697.62
  4. Step 4: Simplify right side
    19,384.44x = 223,822,080.24
  5. Step 5: Solve for x
    x = 223,822,080.24/19,384.44
  6. Step 6: Final answer
    x = 11,546.48

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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.