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Finding the Fourth Proportional to 17,740.71, 24,481.58 and 9,782.91

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Solution

The fourth proportional to 17,740.71, 24,481.58 and 9,782.91 is: 13,500.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,740.71 : 24,481.58 = 9,782.91 : x
  2. Step 2: Convert to fraction form
    17,740.71/24,481.58 = 9,782.91/x
  3. Step 3: Cross multiply
    17,740.71x = 24,481.58 × 9,782.91
  4. Step 4: Simplify right side
    17,740.71x = 239,501,044.88
  5. Step 5: Solve for x
    x = 239,501,044.88/17,740.71
  6. Step 6: Final answer
    x = 13,500.08

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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.