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Finding the Fourth Proportional to 25,383.38, 35,024.20 and 16,429.64

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Solution

The fourth proportional to 25,383.38, 35,024.20 and 16,429.64 is: 22,669.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,383.38 : 35,024.20 = 16,429.64 : x
  2. Step 2: Convert to fraction form
    25,383.38/35,024.20 = 16,429.64/x
  3. Step 3: Cross multiply
    25,383.38x = 35,024.20 × 16,429.64
  4. Step 4: Simplify right side
    25,383.38x = 575,434,740.02
  5. Step 5: Solve for x
    x = 575,434,740.02/25,383.38
  6. Step 6: Final answer
    x = 22,669.75

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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.