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Finding the Fourth Proportional to 16,273.60, 24,409.36 and 5,188.24

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Solution

The fourth proportional to 16,273.60, 24,409.36 and 5,188.24 is: 7,782.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,273.60 : 24,409.36 = 5,188.24 : x
  2. Step 2: Convert to fraction form
    16,273.60/24,409.36 = 5,188.24/x
  3. Step 3: Cross multiply
    16,273.60x = 24,409.36 × 5,188.24
  4. Step 4: Simplify right side
    16,273.60x = 126,641,617.93
  5. Step 5: Solve for x
    x = 126,641,617.93/16,273.60
  6. Step 6: Final answer
    x = 7,782.03

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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.