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Finding the Fourth Proportional to 25,669.80, 35,405.37 and 16,229.25

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Solution

The fourth proportional to 25,669.80, 35,405.37 and 16,229.25 is: 22,384.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,669.80 : 35,405.37 = 16,229.25 : x
  2. Step 2: Convert to fraction form
    25,669.80/35,405.37 = 16,229.25/x
  3. Step 3: Cross multiply
    25,669.80x = 35,405.37 × 16,229.25
  4. Step 4: Simplify right side
    25,669.80x = 574,602,601.07
  5. Step 5: Solve for x
    x = 574,602,601.07/25,669.80
  6. Step 6: Final answer
    x = 22,384.38

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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.