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Finding the Fourth Proportional to 27,416.77, 41,124.27 and 11,617.58

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Solution

The fourth proportional to 27,416.77, 41,124.27 and 11,617.58 is: 17,425.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,416.77 : 41,124.27 = 11,617.58 : x
  2. Step 2: Convert to fraction form
    27,416.77/41,124.27 = 11,617.58/x
  3. Step 3: Cross multiply
    27,416.77x = 41,124.27 × 11,617.58
  4. Step 4: Simplify right side
    27,416.77x = 477,764,496.67
  5. Step 5: Solve for x
    x = 477,764,496.67/27,416.77
  6. Step 6: Final answer
    x = 17,425.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.