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Finding the Fourth Proportional to 21,478.26, 29,652.94 and 14,039.22

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Solution

The fourth proportional to 21,478.26, 29,652.94 and 14,039.22 is: 19,382.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,478.26 : 29,652.94 = 14,039.22 : x
  2. Step 2: Convert to fraction form
    21,478.26/29,652.94 = 14,039.22/x
  3. Step 3: Cross multiply
    21,478.26x = 29,652.94 × 14,039.22
  4. Step 4: Simplify right side
    21,478.26x = 416,304,148.31
  5. Step 5: Solve for x
    x = 416,304,148.31/21,478.26
  6. Step 6: Final answer
    x = 19,382.58

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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.