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Finding the Fourth Proportional to 16,457.50, 22,711.92 and 9,005.50

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Solution

The fourth proportional to 16,457.50, 22,711.92 and 9,005.50 is: 12,427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,457.50 : 22,711.92 = 9,005.50 : x
  2. Step 2: Convert to fraction form
    16,457.50/22,711.92 = 9,005.50/x
  3. Step 3: Cross multiply
    16,457.50x = 22,711.92 × 9,005.50
  4. Step 4: Simplify right side
    16,457.50x = 204,532,195.56
  5. Step 5: Solve for x
    x = 204,532,195.56/16,457.50
  6. Step 6: Final answer
    x = 12,427.90

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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.