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Finding the Fourth Proportional to 12,513.63, 18,757.49 and 10,299.09

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Solution

The fourth proportional to 12,513.63, 18,757.49 and 10,299.09 is: 15,437.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,513.63 : 18,757.49 = 10,299.09 : x
  2. Step 2: Convert to fraction form
    12,513.63/18,757.49 = 10,299.09/x
  3. Step 3: Cross multiply
    12,513.63x = 18,757.49 × 10,299.09
  4. Step 4: Simplify right side
    12,513.63x = 193,185,026.19
  5. Step 5: Solve for x
    x = 193,185,026.19/12,513.63
  6. Step 6: Final answer
    x = 15,437.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.