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Finding the Fourth Proportional to 11,922.88, 17,804.01 and 9,735.88

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Solution

The fourth proportional to 11,922.88, 17,804.01 and 9,735.88 is: 14,538.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,922.88 : 17,804.01 = 9,735.88 : x
  2. Step 2: Convert to fraction form
    11,922.88/17,804.01 = 9,735.88/x
  3. Step 3: Cross multiply
    11,922.88x = 17,804.01 × 9,735.88
  4. Step 4: Simplify right side
    11,922.88x = 173,337,704.88
  5. Step 5: Solve for x
    x = 173,337,704.88/11,922.88
  6. Step 6: Final answer
    x = 14,538.24

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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.