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Finding the Fourth Proportional to 17,765.46, 24,514.61 and 9,807.21

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Solution

The fourth proportional to 17,765.46, 24,514.61 and 9,807.21 is: 13,532.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,765.46 : 24,514.61 = 9,807.21 : x
  2. Step 2: Convert to fraction form
    17,765.46/24,514.61 = 9,807.21/x
  3. Step 3: Cross multiply
    17,765.46x = 24,514.61 × 9,807.21
  4. Step 4: Simplify right side
    17,765.46x = 240,419,879.30
  5. Step 5: Solve for x
    x = 240,419,879.30/17,765.46
  6. Step 6: Final answer
    x = 13,532.99

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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.