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Finding the Fourth Proportional to 20,924.10, 31,385.99 and 8,435.28

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Solution

The fourth proportional to 20,924.10, 31,385.99 and 8,435.28 is: 12,652.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,924.10 : 31,385.99 = 8,435.28 : x
  2. Step 2: Convert to fraction form
    20,924.10/31,385.99 = 8,435.28/x
  3. Step 3: Cross multiply
    20,924.10x = 31,385.99 × 8,435.28
  4. Step 4: Simplify right side
    20,924.10x = 264,749,752.51
  5. Step 5: Solve for x
    x = 264,749,752.51/20,924.10
  6. Step 6: Final answer
    x = 12,652.86

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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.