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Finding the Fourth Proportional to 25,802.72, 38,694 and 16,434.44

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Solution

The fourth proportional to 25,802.72, 38,694 and 16,434.44 is: 24,645.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,802.72 : 38,694 = 16,434.44 : x
  2. Step 2: Convert to fraction form
    25,802.72/38,694 = 16,434.44/x
  3. Step 3: Cross multiply
    25,802.72x = 38,694 × 16,434.44
  4. Step 4: Simplify right side
    25,802.72x = 635,914,221.36
  5. Step 5: Solve for x
    x = 635,914,221.36/25,802.72
  6. Step 6: Final answer
    x = 24,645.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.