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Finding the Fourth Proportional to 17,540.30, 24,206.10 and 9,884.81

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Solution

The fourth proportional to 17,540.30, 24,206.10 and 9,884.81 is: 13,641.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,540.30 : 24,206.10 = 9,884.81 : x
  2. Step 2: Convert to fraction form
    17,540.30/24,206.10 = 9,884.81/x
  3. Step 3: Cross multiply
    17,540.30x = 24,206.10 × 9,884.81
  4. Step 4: Simplify right side
    17,540.30x = 239,272,699.34
  5. Step 5: Solve for x
    x = 239,272,699.34/17,540.30
  6. Step 6: Final answer
    x = 13,641.31

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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.