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Finding the Fourth Proportional to 16,428.68, 22,674.14 and 10,462.96

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Solution

The fourth proportional to 16,428.68, 22,674.14 and 10,462.96 is: 14,440.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,428.68 : 22,674.14 = 10,462.96 : x
  2. Step 2: Convert to fraction form
    16,428.68/22,674.14 = 10,462.96/x
  3. Step 3: Cross multiply
    16,428.68x = 22,674.14 × 10,462.96
  4. Step 4: Simplify right side
    16,428.68x = 237,238,619.85
  5. Step 5: Solve for x
    x = 237,238,619.85/16,428.68
  6. Step 6: Final answer
    x = 14,440.52

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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.