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Finding the Fourth Proportional to 21,449.81, 29,602.38 and 13,498.85

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Solution

The fourth proportional to 21,449.81, 29,602.38 and 13,498.85 is: 18,629.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,449.81 : 29,602.38 = 13,498.85 : x
  2. Step 2: Convert to fraction form
    21,449.81/29,602.38 = 13,498.85/x
  3. Step 3: Cross multiply
    21,449.81x = 29,602.38 × 13,498.85
  4. Step 4: Simplify right side
    21,449.81x = 399,597,939.25
  5. Step 5: Solve for x
    x = 399,597,939.25/21,449.81
  6. Step 6: Final answer
    x = 18,629.44

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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.