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Finding the Fourth Proportional to 17,416.82, 24,035.43 and 9,459.18

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Solution

The fourth proportional to 17,416.82, 24,035.43 and 9,459.18 is: 13,053.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,416.82 : 24,035.43 = 9,459.18 : x
  2. Step 2: Convert to fraction form
    17,416.82/24,035.43 = 9,459.18/x
  3. Step 3: Cross multiply
    17,416.82x = 24,035.43 × 9,459.18
  4. Step 4: Simplify right side
    17,416.82x = 227,355,494.22
  5. Step 5: Solve for x
    x = 227,355,494.22/17,416.82
  6. Step 6: Final answer
    x = 13,053.79

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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.