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Finding the Fourth Proportional to 16,491.69, 22,760.87 and 10,206.09

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Solution

The fourth proportional to 16,491.69, 22,760.87 and 10,206.09 is: 14,085.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,491.69 : 22,760.87 = 10,206.09 : x
  2. Step 2: Convert to fraction form
    16,491.69/22,760.87 = 10,206.09/x
  3. Step 3: Cross multiply
    16,491.69x = 22,760.87 × 10,206.09
  4. Step 4: Simplify right side
    16,491.69x = 232,299,436.67
  5. Step 5: Solve for x
    x = 232,299,436.67/16,491.69
  6. Step 6: Final answer
    x = 14,085.85

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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.