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Finding the Fourth Proportional to 21,907.67, 30,230.42 and 13,412.18

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Solution

The fourth proportional to 21,907.67, 30,230.42 and 13,412.18 is: 18,507.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,907.67 : 30,230.42 = 13,412.18 : x
  2. Step 2: Convert to fraction form
    21,907.67/30,230.42 = 13,412.18/x
  3. Step 3: Cross multiply
    21,907.67x = 30,230.42 × 13,412.18
  4. Step 4: Simplify right side
    21,907.67x = 405,455,843.03
  5. Step 5: Solve for x
    x = 405,455,843.03/21,907.67
  6. Step 6: Final answer
    x = 18,507.49

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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.