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Finding the Fourth Proportional to 16,323.12, 24,486 and 5,231.28

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Solution

The fourth proportional to 16,323.12, 24,486 and 5,231.28 is: 7,847.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,323.12 : 24,486 = 5,231.28 : x
  2. Step 2: Convert to fraction form
    16,323.12/24,486 = 5,231.28/x
  3. Step 3: Cross multiply
    16,323.12x = 24,486 × 5,231.28
  4. Step 4: Simplify right side
    16,323.12x = 128,093,122.08
  5. Step 5: Solve for x
    x = 128,093,122.08/16,323.12
  6. Step 6: Final answer
    x = 7,847.34

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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.