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Finding the Fourth Proportional to 11,843.24, 16,225.06 and 11,400.08

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Solution

The fourth proportional to 11,843.24, 16,225.06 and 11,400.08 is: 15,617.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.24 : 16,225.06 = 11,400.08 : x
  2. Step 2: Convert to fraction form
    11,843.24/16,225.06 = 11,400.08/x
  3. Step 3: Cross multiply
    11,843.24x = 16,225.06 × 11,400.08
  4. Step 4: Simplify right side
    11,843.24x = 184,966,982.00
  5. Step 5: Solve for x
    x = 184,966,982.00/11,843.24
  6. Step 6: Final answer
    x = 15,617.94

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.