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Finding the Fourth Proportional to 21,344.24, 29,419.80 and 14,268.08

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Solution

The fourth proportional to 21,344.24, 29,419.80 and 14,268.08 is: 19,666.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,344.24 : 29,419.80 = 14,268.08 : x
  2. Step 2: Convert to fraction form
    21,344.24/29,419.80 = 14,268.08/x
  3. Step 3: Cross multiply
    21,344.24x = 29,419.80 × 14,268.08
  4. Step 4: Simplify right side
    21,344.24x = 419,764,059.98
  5. Step 5: Solve for x
    x = 419,764,059.98/21,344.24
  6. Step 6: Final answer
    x = 19,666.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.