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Finding the Fourth Proportional to 17,785.57, 24,544.15 and 9,719.23

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Solution

The fourth proportional to 17,785.57, 24,544.15 and 9,719.23 is: 13,412.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,785.57 : 24,544.15 = 9,719.23 : x
  2. Step 2: Convert to fraction form
    17,785.57/24,544.15 = 9,719.23/x
  3. Step 3: Cross multiply
    17,785.57x = 24,544.15 × 9,719.23
  4. Step 4: Simplify right side
    17,785.57x = 238,550,116.28
  5. Step 5: Solve for x
    x = 238,550,116.28/17,785.57
  6. Step 6: Final answer
    x = 13,412.56

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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.