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Finding the Fourth Proportional to 17,782.28, 24,540.24 and 10,228.59

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Solution

The fourth proportional to 17,782.28, 24,540.24 and 10,228.59 is: 14,115.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782.28 : 24,540.24 = 10,228.59 : x
  2. Step 2: Convert to fraction form
    17,782.28/24,540.24 = 10,228.59/x
  3. Step 3: Cross multiply
    17,782.28x = 24,540.24 × 10,228.59
  4. Step 4: Simplify right side
    17,782.28x = 251,012,053.46
  5. Step 5: Solve for x
    x = 251,012,053.46/17,782.28
  6. Step 6: Final answer
    x = 14,115.86

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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.