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Finding the Fourth Proportional to 20,433.84, 30,652.53 and 5,642.77

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Solution

The fourth proportional to 20,433.84, 30,652.53 and 5,642.77 is: 8,464.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,433.84 : 30,652.53 = 5,642.77 : x
  2. Step 2: Convert to fraction form
    20,433.84/30,652.53 = 5,642.77/x
  3. Step 3: Cross multiply
    20,433.84x = 30,652.53 × 5,642.77
  4. Step 4: Simplify right side
    20,433.84x = 172,965,100.08
  5. Step 5: Solve for x
    x = 172,965,100.08/20,433.84
  6. Step 6: Final answer
    x = 8,464.64

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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.