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Finding the Fourth Proportional to 17,682.10, 24,401.05 and 9,724.25

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Solution

The fourth proportional to 17,682.10, 24,401.05 and 9,724.25 is: 13,419.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,682.10 : 24,401.05 = 9,724.25 : x
  2. Step 2: Convert to fraction form
    17,682.10/24,401.05 = 9,724.25/x
  3. Step 3: Cross multiply
    17,682.10x = 24,401.05 × 9,724.25
  4. Step 4: Simplify right side
    17,682.10x = 237,281,947.15
  5. Step 5: Solve for x
    x = 237,281,947.15/17,682.10
  6. Step 6: Final answer
    x = 13,419.33

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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.