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Finding the Fourth Proportional to 25,822.24, 35,634 and 14,644

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Solution

The fourth proportional to 25,822.24, 35,634 and 14,644 is: 20,208.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,822.24 : 35,634 = 14,644 : x
  2. Step 2: Convert to fraction form
    25,822.24/35,634 = 14,644/x
  3. Step 3: Cross multiply
    25,822.24x = 35,634 × 14,644
  4. Step 4: Simplify right side
    25,822.24x = 521,824,296
  5. Step 5: Solve for x
    x = 521,824,296/25,822.24
  6. Step 6: Final answer
    x = 20,208.33

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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.