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Finding the Fourth Proportional to 17,783.02, 24,540.08 and 9,823.96

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Solution

The fourth proportional to 17,783.02, 24,540.08 and 9,823.96 is: 13,556.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,783.02 : 24,540.08 = 9,823.96 : x
  2. Step 2: Convert to fraction form
    17,783.02/24,540.08 = 9,823.96/x
  3. Step 3: Cross multiply
    17,783.02x = 24,540.08 × 9,823.96
  4. Step 4: Simplify right side
    17,783.02x = 241,080,764.32
  5. Step 5: Solve for x
    x = 241,080,764.32/17,783.02
  6. Step 6: Final answer
    x = 13,556.80

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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.