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Finding the Fourth Proportional to 16,299.44, 24,537.62 and 14,606

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Solution

The fourth proportional to 16,299.44, 24,537.62 and 14,606 is: 21,988.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,299.44 : 24,537.62 = 14,606 : x
  2. Step 2: Convert to fraction form
    16,299.44/24,537.62 = 14,606/x
  3. Step 3: Cross multiply
    16,299.44x = 24,537.62 × 14,606
  4. Step 4: Simplify right side
    16,299.44x = 358,396,477.72
  5. Step 5: Solve for x
    x = 358,396,477.72/16,299.44
  6. Step 6: Final answer
    x = 21,988.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.