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Finding the Fourth Proportional to 17,328, 23,914.98 and 9,775.88

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Solution

The fourth proportional to 17,328, 23,914.98 and 9,775.88 is: 13,492.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,328 : 23,914.98 = 9,775.88 : x
  2. Step 2: Convert to fraction form
    17,328/23,914.98 = 9,775.88/x
  3. Step 3: Cross multiply
    17,328x = 23,914.98 × 9,775.88
  4. Step 4: Simplify right side
    17,328x = 233,789,974.68
  5. Step 5: Solve for x
    x = 233,789,974.68/17,328
  6. Step 6: Final answer
    x = 13,492.03

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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.