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Finding the Fourth Proportional to 16,990.88, 23,442 and 9,537.44

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Solution

The fourth proportional to 16,990.88, 23,442 and 9,537.44 is: 13,158.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,990.88 : 23,442 = 9,537.44 : x
  2. Step 2: Convert to fraction form
    16,990.88/23,442 = 9,537.44/x
  3. Step 3: Cross multiply
    16,990.88x = 23,442 × 9,537.44
  4. Step 4: Simplify right side
    16,990.88x = 223,576,668.48
  5. Step 5: Solve for x
    x = 223,576,668.48/16,990.88
  6. Step 6: Final answer
    x = 13,158.63

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1.5x scale

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.