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Finding the Fourth Proportional to 16,491.46, 22,738.17 and 11,459.86

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Solution

The fourth proportional to 16,491.46, 22,738.17 and 11,459.86 is: 15,800.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,491.46 : 22,738.17 = 11,459.86 : x
  2. Step 2: Convert to fraction form
    16,491.46/22,738.17 = 11,459.86/x
  3. Step 3: Cross multiply
    16,491.46x = 22,738.17 × 11,459.86
  4. Step 4: Simplify right side
    16,491.46x = 260,576,244.86
  5. Step 5: Solve for x
    x = 260,576,244.86/16,491.46
  6. Step 6: Final answer
    x = 15,800.68

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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.