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Finding the Fourth Proportional to 16,852, 25,268.28 and 7,492

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Solution

The fourth proportional to 16,852, 25,268.28 and 7,492 is: 11,233.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,852 : 25,268.28 = 7,492 : x
  2. Step 2: Convert to fraction form
    16,852/25,268.28 = 7,492/x
  3. Step 3: Cross multiply
    16,852x = 25,268.28 × 7,492
  4. Step 4: Simplify right side
    16,852x = 189,309,953.76
  5. Step 5: Solve for x
    x = 189,309,953.76/16,852
  6. Step 6: Final answer
    x = 11,233.68

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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.