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Finding the Fourth Proportional to 17,718.02, 24,449.97 and 9,760.08

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Solution

The fourth proportional to 17,718.02, 24,449.97 and 9,760.08 is: 13,468.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,718.02 : 24,449.97 = 9,760.08 : x
  2. Step 2: Convert to fraction form
    17,718.02/24,449.97 = 9,760.08/x
  3. Step 3: Cross multiply
    17,718.02x = 24,449.97 × 9,760.08
  4. Step 4: Simplify right side
    17,718.02x = 238,633,663.20
  5. Step 5: Solve for x
    x = 238,633,663.20/17,718.02
  6. Step 6: Final answer
    x = 13,468.42

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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.