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Finding the Fourth Proportional to 16,491.12, 22,757.94 and 9,684.69

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Solution

The fourth proportional to 16,491.12, 22,757.94 and 9,684.69 is: 13,364.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,491.12 : 22,757.94 = 9,684.69 : x
  2. Step 2: Convert to fraction form
    16,491.12/22,757.94 = 9,684.69/x
  3. Step 3: Cross multiply
    16,491.12x = 22,757.94 × 9,684.69
  4. Step 4: Simplify right side
    16,491.12x = 220,403,593.94
  5. Step 5: Solve for x
    x = 220,403,593.94/16,491.12
  6. Step 6: Final answer
    x = 13,364.99

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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.