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Finding the Fourth Proportional to 21,933.48, 32,900.18 and 7,142.38

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Solution

The fourth proportional to 21,933.48, 32,900.18 and 7,142.38 is: 10,713.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,933.48 : 32,900.18 = 7,142.38 : x
  2. Step 2: Convert to fraction form
    21,933.48/32,900.18 = 7,142.38/x
  3. Step 3: Cross multiply
    21,933.48x = 32,900.18 × 7,142.38
  4. Step 4: Simplify right side
    21,933.48x = 234,985,469.67
  5. Step 5: Solve for x
    x = 234,985,469.67/21,933.48
  6. Step 6: Final answer
    x = 10,713.55

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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.