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Finding the Fourth Proportional to 16,842, 25,262.90 and 4,361.99

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Solution

The fourth proportional to 16,842, 25,262.90 and 4,361.99 is: 6,542.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,842 : 25,262.90 = 4,361.99 : x
  2. Step 2: Convert to fraction form
    16,842/25,262.90 = 4,361.99/x
  3. Step 3: Cross multiply
    16,842x = 25,262.90 × 4,361.99
  4. Step 4: Simplify right side
    16,842x = 110,196,558.52
  5. Step 5: Solve for x
    x = 110,196,558.52/16,842
  6. Step 6: Final answer
    x = 6,542.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.