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Finding the Fourth Proportional to 17,191.60, 23,724.49 and 9,638.25

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Solution

The fourth proportional to 17,191.60, 23,724.49 and 9,638.25 is: 13,300.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,191.60 : 23,724.49 = 9,638.25 : x
  2. Step 2: Convert to fraction form
    17,191.60/23,724.49 = 9,638.25/x
  3. Step 3: Cross multiply
    17,191.60x = 23,724.49 × 9,638.25
  4. Step 4: Simplify right side
    17,191.60x = 228,662,470.75
  5. Step 5: Solve for x
    x = 228,662,470.75/17,191.60
  6. Step 6: Final answer
    x = 13,300.83

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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.