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Finding the Fourth Proportional to 25,735.48, 35,509.92 and 16,169.83

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Solution

The fourth proportional to 25,735.48, 35,509.92 and 16,169.83 is: 22,311.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,735.48 : 35,509.92 = 16,169.83 : x
  2. Step 2: Convert to fraction form
    25,735.48/35,509.92 = 16,169.83/x
  3. Step 3: Cross multiply
    25,735.48x = 35,509.92 × 16,169.83
  4. Step 4: Simplify right side
    25,735.48x = 574,189,111.31
  5. Step 5: Solve for x
    x = 574,189,111.31/25,735.48
  6. Step 6: Final answer
    x = 22,311.19

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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.