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Finding the Fourth Proportional to 25,496.67, 35,185.17 and 14,166.20

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Solution

The fourth proportional to 25,496.67, 35,185.17 and 14,166.20 is: 19,549.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,496.67 : 35,185.17 = 14,166.20 : x
  2. Step 2: Convert to fraction form
    25,496.67/35,185.17 = 14,166.20/x
  3. Step 3: Cross multiply
    25,496.67x = 35,185.17 × 14,166.20
  4. Step 4: Simplify right side
    25,496.67x = 498,439,979.33
  5. Step 5: Solve for x
    x = 498,439,979.33/25,496.67
  6. Step 6: Final answer
    x = 19,549.22

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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.