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Finding the Fourth Proportional to 11,832.40, 17,661.98 and 10,431.22

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Solution

The fourth proportional to 11,832.40, 17,661.98 and 10,431.22 is: 15,570.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,832.40 : 17,661.98 = 10,431.22 : x
  2. Step 2: Convert to fraction form
    11,832.40/17,661.98 = 10,431.22/x
  3. Step 3: Cross multiply
    11,832.40x = 17,661.98 × 10,431.22
  4. Step 4: Simplify right side
    11,832.40x = 184,235,999.02
  5. Step 5: Solve for x
    x = 184,235,999.02/11,832.40
  6. Step 6: Final answer
    x = 15,570.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.