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Finding the Fourth Proportional to 21,015.42, 31,523.68 and 5,433

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Solution

The fourth proportional to 21,015.42, 31,523.68 and 5,433 is: 8,149.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,015.42 : 31,523.68 = 5,433 : x
  2. Step 2: Convert to fraction form
    21,015.42/31,523.68 = 5,433/x
  3. Step 3: Cross multiply
    21,015.42x = 31,523.68 × 5,433
  4. Step 4: Simplify right side
    21,015.42x = 171,268,153.44
  5. Step 5: Solve for x
    x = 171,268,153.44/21,015.42
  6. Step 6: Final answer
    x = 8,149.64

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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.