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Finding the Fourth Proportional to 21,953.14, 30,283 and 13,884.31

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Solution

The fourth proportional to 21,953.14, 30,283 and 13,884.31 is: 19,152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,953.14 : 30,283 = 13,884.31 : x
  2. Step 2: Convert to fraction form
    21,953.14/30,283 = 13,884.31/x
  3. Step 3: Cross multiply
    21,953.14x = 30,283 × 13,884.31
  4. Step 4: Simplify right side
    21,953.14x = 420,458,559.73
  5. Step 5: Solve for x
    x = 420,458,559.73/21,953.14
  6. Step 6: Final answer
    x = 19,152.55

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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.