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Finding the Fourth Proportional to 21,933, 32,907.72 and 13,174.20

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Solution

The fourth proportional to 21,933, 32,907.72 and 13,174.20 is: 19,766.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,933 : 32,907.72 = 13,174.20 : x
  2. Step 2: Convert to fraction form
    21,933/32,907.72 = 13,174.20/x
  3. Step 3: Cross multiply
    21,933x = 32,907.72 × 13,174.20
  4. Step 4: Simplify right side
    21,933x = 433,532,884.82
  5. Step 5: Solve for x
    x = 433,532,884.82/21,933
  6. Step 6: Final answer
    x = 19,766.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.