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Finding the Fourth Proportional to 21,888, 30,213.12 and 13,056

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Solution

The fourth proportional to 21,888, 30,213.12 and 13,056 is: 18,021.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,888 : 30,213.12 = 13,056 : x
  2. Step 2: Convert to fraction form
    21,888/30,213.12 = 13,056/x
  3. Step 3: Cross multiply
    21,888x = 30,213.12 × 13,056
  4. Step 4: Simplify right side
    21,888x = 394,462,494.72
  5. Step 5: Solve for x
    x = 394,462,494.72/21,888
  6. Step 6: Final answer
    x = 18,021.86

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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.