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Finding the Fourth Proportional to 17,740.45, 24,480.70 and 9,782.74

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Solution

The fourth proportional to 17,740.45, 24,480.70 and 9,782.74 is: 13,499.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,740.45 : 24,480.70 = 9,782.74 : x
  2. Step 2: Convert to fraction form
    17,740.45/24,480.70 = 9,782.74/x
  3. Step 3: Cross multiply
    17,740.45x = 24,480.70 × 9,782.74
  4. Step 4: Simplify right side
    17,740.45x = 239,488,323.12
  5. Step 5: Solve for x
    x = 239,488,323.12/17,740.45
  6. Step 6: Final answer
    x = 13,499.56

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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.