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Finding the Fourth Proportional to 25,741, 35,522.34 and 14,563

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Solution

The fourth proportional to 25,741, 35,522.34 and 14,563 is: 20,096.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,741 : 35,522.34 = 14,563 : x
  2. Step 2: Convert to fraction form
    25,741/35,522.34 = 14,563/x
  3. Step 3: Cross multiply
    25,741x = 35,522.34 × 14,563
  4. Step 4: Simplify right side
    25,741x = 517,311,837.42
  5. Step 5: Solve for x
    x = 517,311,837.42/25,741
  6. Step 6: Final answer
    x = 20,096.80

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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.