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Finding the Fourth Proportional to 28,144, 38,839.36 and 18,225.28

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Solution

The fourth proportional to 28,144, 38,839.36 and 18,225.28 is: 25,151.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,144 : 38,839.36 = 18,225.28 : x
  2. Step 2: Convert to fraction form
    28,144/38,839.36 = 18,225.28/x
  3. Step 3: Cross multiply
    28,144x = 38,839.36 × 18,225.28
  4. Step 4: Simplify right side
    28,144x = 707,858,211.02
  5. Step 5: Solve for x
    x = 707,858,211.02/28,144
  6. Step 6: Final answer
    x = 25,151.30

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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.