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Finding the Fourth Proportional to 24,786.69, 34,214.49 and 14,715.11

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Solution

The fourth proportional to 24,786.69, 34,214.49 and 14,715.11 is: 20,312.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,786.69 : 34,214.49 = 14,715.11 : x
  2. Step 2: Convert to fraction form
    24,786.69/34,214.49 = 14,715.11/x
  3. Step 3: Cross multiply
    24,786.69x = 34,214.49 × 14,715.11
  4. Step 4: Simplify right side
    24,786.69x = 503,469,983.94
  5. Step 5: Solve for x
    x = 503,469,983.94/24,786.69
  6. Step 6: Final answer
    x = 20,312.11

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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.