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Finding the Fourth Proportional to 21,036.38, 29,039.74 and 13,382.80

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Solution

The fourth proportional to 21,036.38, 29,039.74 and 13,382.80 is: 18,474.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,036.38 : 29,039.74 = 13,382.80 : x
  2. Step 2: Convert to fraction form
    21,036.38/29,039.74 = 13,382.80/x
  3. Step 3: Cross multiply
    21,036.38x = 29,039.74 × 13,382.80
  4. Step 4: Simplify right side
    21,036.38x = 388,633,032.47
  5. Step 5: Solve for x
    x = 388,633,032.47/21,036.38
  6. Step 6: Final answer
    x = 18,474.33

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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.