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Finding the Fourth Proportional to 15,879.68, 23,816.64 and 8,483.84

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Solution

The fourth proportional to 15,879.68, 23,816.64 and 8,483.84 is: 12,724.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,879.68 : 23,816.64 = 8,483.84 : x
  2. Step 2: Convert to fraction form
    15,879.68/23,816.64 = 8,483.84/x
  3. Step 3: Cross multiply
    15,879.68x = 23,816.64 × 8,483.84
  4. Step 4: Simplify right side
    15,879.68x = 202,056,563.10
  5. Step 5: Solve for x
    x = 202,056,563.10/15,879.68
  6. Step 6: Final answer
    x = 12,724.22

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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.