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Finding the Fourth Proportional to 16,834, 25,254.24 and 7,600

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Solution

The fourth proportional to 16,834, 25,254.24 and 7,600 is: 11,401.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,834 : 25,254.24 = 7,600 : x
  2. Step 2: Convert to fraction form
    16,834/25,254.24 = 7,600/x
  3. Step 3: Cross multiply
    16,834x = 25,254.24 × 7,600
  4. Step 4: Simplify right side
    16,834x = 191,932,224
  5. Step 5: Solve for x
    x = 191,932,224/16,834
  6. Step 6: Final answer
    x = 11,401.46

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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.