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Finding the Fourth Proportional to 17,441.01, 24,062.74 and 9,886.75

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Solution

The fourth proportional to 17,441.01, 24,062.74 and 9,886.75 is: 13,640.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,441.01 : 24,062.74 = 9,886.75 : x
  2. Step 2: Convert to fraction form
    17,441.01/24,062.74 = 9,886.75/x
  3. Step 3: Cross multiply
    17,441.01x = 24,062.74 × 9,886.75
  4. Step 4: Simplify right side
    17,441.01x = 237,902,209.82
  5. Step 5: Solve for x
    x = 237,902,209.82/17,441.01
  6. Step 6: Final answer
    x = 13,640.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.