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Finding the Fourth Proportional to 16,977, 23,428.44 and 9,525

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Solution

The fourth proportional to 16,977, 23,428.44 and 9,525 is: 13,144.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,977 : 23,428.44 = 9,525 : x
  2. Step 2: Convert to fraction form
    16,977/23,428.44 = 9,525/x
  3. Step 3: Cross multiply
    16,977x = 23,428.44 × 9,525
  4. Step 4: Simplify right side
    16,977x = 223,155,891
  5. Step 5: Solve for x
    x = 223,155,891/16,977
  6. Step 6: Final answer
    x = 13,144.60

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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.