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Finding the Fourth Proportional to 23,074.65, 31,843.14 and 13,003.25

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Solution

The fourth proportional to 23,074.65, 31,843.14 and 13,003.25 is: 17,944.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,074.65 : 31,843.14 = 13,003.25 : x
  2. Step 2: Convert to fraction form
    23,074.65/31,843.14 = 13,003.25/x
  3. Step 3: Cross multiply
    23,074.65x = 31,843.14 × 13,003.25
  4. Step 4: Simplify right side
    23,074.65x = 414,064,150.99
  5. Step 5: Solve for x
    x = 414,064,150.99/23,074.65
  6. Step 6: Final answer
    x = 17,944.55

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