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Finding the Fourth Proportional to 21,476.25, 29,650.19 and 14,037.21

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Solution

The fourth proportional to 21,476.25, 29,650.19 and 14,037.21 is: 19,379.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,476.25 : 29,650.19 = 14,037.21 : x
  2. Step 2: Convert to fraction form
    21,476.25/29,650.19 = 14,037.21/x
  3. Step 3: Cross multiply
    21,476.25x = 29,650.19 × 14,037.21
  4. Step 4: Simplify right side
    21,476.25x = 416,205,873.38
  5. Step 5: Solve for x
    x = 416,205,873.38/21,476.25
  6. Step 6: Final answer
    x = 19,379.82

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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.