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Finding the Fourth Proportional to 25,629, 35,359.70 and 16,077.27

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Solution

The fourth proportional to 25,629, 35,359.70 and 16,077.27 is: 22,181.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,629 : 35,359.70 = 16,077.27 : x
  2. Step 2: Convert to fraction form
    25,629/35,359.70 = 16,077.27/x
  3. Step 3: Cross multiply
    25,629x = 35,359.70 × 16,077.27
  4. Step 4: Simplify right side
    25,629x = 568,487,444.02
  5. Step 5: Solve for x
    x = 568,487,444.02/25,629
  6. Step 6: Final answer
    x = 22,181.41

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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.