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Finding the Fourth Proportional to 27,742.49, 41,624.24 and 16,656.92

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Solution

The fourth proportional to 27,742.49, 41,624.24 and 16,656.92 is: 24,991.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,742.49 : 41,624.24 = 16,656.92 : x
  2. Step 2: Convert to fraction form
    27,742.49/41,624.24 = 16,656.92/x
  3. Step 3: Cross multiply
    27,742.49x = 41,624.24 × 16,656.92
  4. Step 4: Simplify right side
    27,742.49x = 693,331,635.74
  5. Step 5: Solve for x
    x = 693,331,635.74/27,742.49
  6. Step 6: Final answer
    x = 24,991.69

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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.