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Finding the Fourth Proportional to 21,858, 30,153.24 and 13,788

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Solution

The fourth proportional to 21,858, 30,153.24 and 13,788 is: 19,020.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,858 : 30,153.24 = 13,788 : x
  2. Step 2: Convert to fraction form
    21,858/30,153.24 = 13,788/x
  3. Step 3: Cross multiply
    21,858x = 30,153.24 × 13,788
  4. Step 4: Simplify right side
    21,858x = 415,752,873.12
  5. Step 5: Solve for x
    x = 415,752,873.12/21,858
  6. Step 6: Final answer
    x = 19,020.63

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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.