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Finding the Fourth Proportional to 17,310.98, 23,889.17 and 9,353.20

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Solution

The fourth proportional to 17,310.98, 23,889.17 and 9,353.20 is: 12,907.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,310.98 : 23,889.17 = 9,353.20 : x
  2. Step 2: Convert to fraction form
    17,310.98/23,889.17 = 9,353.20/x
  3. Step 3: Cross multiply
    17,310.98x = 23,889.17 × 9,353.20
  4. Step 4: Simplify right side
    17,310.98x = 223,440,184.84
  5. Step 5: Solve for x
    x = 223,440,184.84/17,310.98
  6. Step 6: Final answer
    x = 12,907.43

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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.