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Finding the Fourth Proportional to 25,995.99, 35,880 and 16,429.77

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Solution

The fourth proportional to 25,995.99, 35,880 and 16,429.77 is: 22,676.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,995.99 : 35,880 = 16,429.77 : x
  2. Step 2: Convert to fraction form
    25,995.99/35,880 = 16,429.77/x
  3. Step 3: Cross multiply
    25,995.99x = 35,880 × 16,429.77
  4. Step 4: Simplify right side
    25,995.99x = 589,500,147.60
  5. Step 5: Solve for x
    x = 589,500,147.60/25,995.99
  6. Step 6: Final answer
    x = 22,676.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.