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Finding the Fourth Proportional to 25,675.94, 35,431.68 and 16,120.77

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Solution

The fourth proportional to 25,675.94, 35,431.68 and 16,120.77 is: 22,245.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,675.94 : 35,431.68 = 16,120.77 : x
  2. Step 2: Convert to fraction form
    25,675.94/35,431.68 = 16,120.77/x
  3. Step 3: Cross multiply
    25,675.94x = 35,431.68 × 16,120.77
  4. Step 4: Simplify right side
    25,675.94x = 571,186,000.20
  5. Step 5: Solve for x
    x = 571,186,000.20/25,675.94
  6. Step 6: Final answer
    x = 22,245.97

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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.