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Finding the Fourth Proportional to 19,884.32, 29,826.42 and 5,093.24

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Solution

The fourth proportional to 19,884.32, 29,826.42 and 5,093.24 is: 7,639.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,884.32 : 29,826.42 = 5,093.24 : x
  2. Step 2: Convert to fraction form
    19,884.32/29,826.42 = 5,093.24/x
  3. Step 3: Cross multiply
    19,884.32x = 29,826.42 × 5,093.24
  4. Step 4: Simplify right side
    19,884.32x = 151,913,115.40
  5. Step 5: Solve for x
    x = 151,913,115.40/19,884.32
  6. Step 6: Final answer
    x = 7,639.84

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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.