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Finding the Fourth Proportional to 16,274.15, 22,457.27 and 9,102.83

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Solution

The fourth proportional to 16,274.15, 22,457.27 and 9,102.83 is: 12,561.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,274.15 : 22,457.27 = 9,102.83 : x
  2. Step 2: Convert to fraction form
    16,274.15/22,457.27 = 9,102.83/x
  3. Step 3: Cross multiply
    16,274.15x = 22,457.27 × 9,102.83
  4. Step 4: Simplify right side
    16,274.15x = 204,424,576.03
  5. Step 5: Solve for x
    x = 204,424,576.03/16,274.15
  6. Step 6: Final answer
    x = 12,561.30

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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.