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Finding the Fourth Proportional to 17,682.72, 24,401.59 and 9,724.92

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Solution

The fourth proportional to 17,682.72, 24,401.59 and 9,724.92 is: 13,420.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,682.72 : 24,401.59 = 9,724.92 : x
  2. Step 2: Convert to fraction form
    17,682.72/24,401.59 = 9,724.92/x
  3. Step 3: Cross multiply
    17,682.72x = 24,401.59 × 9,724.92
  4. Step 4: Simplify right side
    17,682.72x = 237,303,510.62
  5. Step 5: Solve for x
    x = 237,303,510.62/17,682.72
  6. Step 6: Final answer
    x = 13,420.08

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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.