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Finding the Fourth Proportional to 20,435.09, 30,652.70 and 5,643.68

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Solution

The fourth proportional to 20,435.09, 30,652.70 and 5,643.68 is: 8,465.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,435.09 : 30,652.70 = 5,643.68 : x
  2. Step 2: Convert to fraction form
    20,435.09/30,652.70 = 5,643.68/x
  3. Step 3: Cross multiply
    20,435.09x = 30,652.70 × 5,643.68
  4. Step 4: Simplify right side
    20,435.09x = 172,993,848.45
  5. Step 5: Solve for x
    x = 172,993,848.45/20,435.09
  6. Step 6: Final answer
    x = 8,465.53

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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.