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Finding the Fourth Proportional to 25,822.25, 35,634.71 and 14,644.25

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Solution

The fourth proportional to 25,822.25, 35,634.71 and 14,644.25 is: 20,209.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,822.25 : 35,634.71 = 14,644.25 : x
  2. Step 2: Convert to fraction form
    25,822.25/35,634.71 = 14,644.25/x
  3. Step 3: Cross multiply
    25,822.25x = 35,634.71 × 14,644.25
  4. Step 4: Simplify right side
    25,822.25x = 521,843,528.70
  5. Step 5: Solve for x
    x = 521,843,528.70/25,822.25
  6. Step 6: Final answer
    x = 20,209.07

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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.