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Finding the Fourth Proportional to 17,416.77, 24,035.15 and 9,459

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Solution

The fourth proportional to 17,416.77, 24,035.15 and 9,459 is: 13,053.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,416.77 : 24,035.15 = 9,459 : x
  2. Step 2: Convert to fraction form
    17,416.77/24,035.15 = 9,459/x
  3. Step 3: Cross multiply
    17,416.77x = 24,035.15 × 9,459
  4. Step 4: Simplify right side
    17,416.77x = 227,348,436.56
  5. Step 5: Solve for x
    x = 227,348,436.56/17,416.77
  6. Step 6: Final answer
    x = 13,053.42

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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.