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Finding the Fourth Proportional to 17,366.56, 23,965.82 and 9,409

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Solution

The fourth proportional to 17,366.56, 23,965.82 and 9,409 is: 12,984.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,366.56 : 23,965.82 = 9,409 : x
  2. Step 2: Convert to fraction form
    17,366.56/23,965.82 = 9,409/x
  3. Step 3: Cross multiply
    17,366.56x = 23,965.82 × 9,409
  4. Step 4: Simplify right side
    17,366.56x = 225,494,400.38
  5. Step 5: Solve for x
    x = 225,494,400.38/17,366.56
  6. Step 6: Final answer
    x = 12,984.40

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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.