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Finding the Fourth Proportional to 25,525, 35,221.82 and 14,192.68

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Solution

The fourth proportional to 25,525, 35,221.82 and 14,192.68 is: 19,584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,525 : 35,221.82 = 14,192.68 : x
  2. Step 2: Convert to fraction form
    25,525/35,221.82 = 14,192.68/x
  3. Step 3: Cross multiply
    25,525x = 35,221.82 × 14,192.68
  4. Step 4: Simplify right side
    25,525x = 499,892,020.28
  5. Step 5: Solve for x
    x = 499,892,020.28/25,525
  6. Step 6: Final answer
    x = 19,584.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.