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Finding the Fourth Proportional to 17,829.75, 24,605.44 and 9,763.75

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Solution

The fourth proportional to 17,829.75, 24,605.44 and 9,763.75 is: 13,474.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,829.75 : 24,605.44 = 9,763.75 : x
  2. Step 2: Convert to fraction form
    17,829.75/24,605.44 = 9,763.75/x
  3. Step 3: Cross multiply
    17,829.75x = 24,605.44 × 9,763.75
  4. Step 4: Simplify right side
    17,829.75x = 240,241,327.70
  5. Step 5: Solve for x
    x = 240,241,327.70/17,829.75
  6. Step 6: Final answer
    x = 13,474.18

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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.