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Finding the Fourth Proportional to 17,416.91, 24,035.24 and 9,459.14

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Solution

The fourth proportional to 17,416.91, 24,035.24 and 9,459.14 is: 13,053.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,416.91 : 24,035.24 = 9,459.14 : x
  2. Step 2: Convert to fraction form
    17,416.91/24,035.24 = 9,459.14/x
  3. Step 3: Cross multiply
    17,416.91x = 24,035.24 × 9,459.14
  4. Step 4: Simplify right side
    17,416.91x = 227,352,532.62
  5. Step 5: Solve for x
    x = 227,352,532.62/17,416.91
  6. Step 6: Final answer
    x = 13,053.56

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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.