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Finding the Fourth Proportional to 20,528.64, 30,790.32 and 6,490.10

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Solution

The fourth proportional to 20,528.64, 30,790.32 and 6,490.10 is: 9,734.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,528.64 : 30,790.32 = 6,490.10 : x
  2. Step 2: Convert to fraction form
    20,528.64/30,790.32 = 6,490.10/x
  3. Step 3: Cross multiply
    20,528.64x = 30,790.32 × 6,490.10
  4. Step 4: Simplify right side
    20,528.64x = 199,832,147.44
  5. Step 5: Solve for x
    x = 199,832,147.44/20,528.64
  6. Step 6: Final answer
    x = 9,734.31

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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.