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Finding the Fourth Proportional to 17,778.71, 24,513.49 and 11,800.91

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Solution

The fourth proportional to 17,778.71, 24,513.49 and 11,800.91 is: 16,271.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.71 : 24,513.49 = 11,800.91 : x
  2. Step 2: Convert to fraction form
    17,778.71/24,513.49 = 11,800.91/x
  3. Step 3: Cross multiply
    17,778.71x = 24,513.49 × 11,800.91
  4. Step 4: Simplify right side
    17,778.71x = 289,281,489.28
  5. Step 5: Solve for x
    x = 289,281,489.28/17,778.71
  6. Step 6: Final answer
    x = 16,271.23

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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.