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Finding the Fourth Proportional to 17,740.65, 24,480.83 and 9,782.70

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Solution

The fourth proportional to 17,740.65, 24,480.83 and 9,782.70 is: 13,499.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,740.65 : 24,480.83 = 9,782.70 : x
  2. Step 2: Convert to fraction form
    17,740.65/24,480.83 = 9,782.70/x
  3. Step 3: Cross multiply
    17,740.65x = 24,480.83 × 9,782.70
  4. Step 4: Simplify right side
    17,740.65x = 239,488,566.73
  5. Step 5: Solve for x
    x = 239,488,566.73/17,740.65
  6. Step 6: Final answer
    x = 13,499.42

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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.