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Finding the Fourth Proportional to 16,427.68, 22,672.76 and 10,461.96

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Solution

The fourth proportional to 16,427.68, 22,672.76 and 10,461.96 is: 14,439.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,427.68 : 22,672.76 = 10,461.96 : x
  2. Step 2: Convert to fraction form
    16,427.68/22,672.76 = 10,461.96/x
  3. Step 3: Cross multiply
    16,427.68x = 22,672.76 × 10,461.96
  4. Step 4: Simplify right side
    16,427.68x = 237,201,508.21
  5. Step 5: Solve for x
    x = 237,201,508.21/16,427.68
  6. Step 6: Final answer
    x = 14,439.14

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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.