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Finding the Fourth Proportional to 20,473.83, 30,705.21 and 8,784.32

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Solution

The fourth proportional to 20,473.83, 30,705.21 and 8,784.32 is: 13,174.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,473.83 : 30,705.21 = 8,784.32 : x
  2. Step 2: Convert to fraction form
    20,473.83/30,705.21 = 8,784.32/x
  3. Step 3: Cross multiply
    20,473.83x = 30,705.21 × 8,784.32
  4. Step 4: Simplify right side
    20,473.83x = 269,724,236.78
  5. Step 5: Solve for x
    x = 269,724,236.78/20,473.83
  6. Step 6: Final answer
    x = 13,174.10

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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.