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Finding the Fourth Proportional to 21,348, 29,451.36 and 14,181.36

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Solution

The fourth proportional to 21,348, 29,451.36 and 14,181.36 is: 19,564.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,348 : 29,451.36 = 14,181.36 : x
  2. Step 2: Convert to fraction form
    21,348/29,451.36 = 14,181.36/x
  3. Step 3: Cross multiply
    21,348x = 29,451.36 × 14,181.36
  4. Step 4: Simplify right side
    21,348x = 417,660,338.65
  5. Step 5: Solve for x
    x = 417,660,338.65/21,348
  6. Step 6: Final answer
    x = 19,564.38

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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.