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Finding the Fourth Proportional to 28,173.24, 38,838.42 and 22,524.84

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Solution

The fourth proportional to 28,173.24, 38,838.42 and 22,524.84 is: 31,051.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,173.24 : 38,838.42 = 22,524.84 : x
  2. Step 2: Convert to fraction form
    28,173.24/38,838.42 = 22,524.84/x
  3. Step 3: Cross multiply
    28,173.24x = 38,838.42 × 22,524.84
  4. Step 4: Simplify right side
    28,173.24x = 874,829,196.35
  5. Step 5: Solve for x
    x = 874,829,196.35/28,173.24
  6. Step 6: Final answer
    x = 31,051.78

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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.