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Finding the Fourth Proportional to 19,803.36, 29,704.32 and 5,952

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Solution

The fourth proportional to 19,803.36, 29,704.32 and 5,952 is: 8,927.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,803.36 : 29,704.32 = 5,952 : x
  2. Step 2: Convert to fraction form
    19,803.36/29,704.32 = 5,952/x
  3. Step 3: Cross multiply
    19,803.36x = 29,704.32 × 5,952
  4. Step 4: Simplify right side
    19,803.36x = 176,800,112.64
  5. Step 5: Solve for x
    x = 176,800,112.64/19,803.36
  6. Step 6: Final answer
    x = 8,927.78

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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.