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Finding the Fourth Proportional to 17,829.57, 24,605.18 and 9,763.56

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Solution

The fourth proportional to 17,829.57, 24,605.18 and 9,763.56 is: 13,473.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,829.57 : 24,605.18 = 9,763.56 : x
  2. Step 2: Convert to fraction form
    17,829.57/24,605.18 = 9,763.56/x
  3. Step 3: Cross multiply
    17,829.57x = 24,605.18 × 9,763.56
  4. Step 4: Simplify right side
    17,829.57x = 240,234,175.65
  5. Step 5: Solve for x
    x = 240,234,175.65/17,829.57
  6. Step 6: Final answer
    x = 13,473.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.