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Finding the Fourth Proportional to 11,232.80, 16,849.20 and 10,584.80

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Solution

The fourth proportional to 11,232.80, 16,849.20 and 10,584.80 is: 15,877.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,232.80 : 16,849.20 = 10,584.80 : x
  2. Step 2: Convert to fraction form
    11,232.80/16,849.20 = 10,584.80/x
  3. Step 3: Cross multiply
    11,232.80x = 16,849.20 × 10,584.80
  4. Step 4: Simplify right side
    11,232.80x = 178,345,412.16
  5. Step 5: Solve for x
    x = 178,345,412.16/11,232.80
  6. Step 6: Final answer
    x = 15,877.20

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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.