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Finding the Fourth Proportional to 12,665.40, 18,998.10 and 10,205.03

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Solution

The fourth proportional to 12,665.40, 18,998.10 and 10,205.03 is: 15,307.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,665.40 : 18,998.10 = 10,205.03 : x
  2. Step 2: Convert to fraction form
    12,665.40/18,998.10 = 10,205.03/x
  3. Step 3: Cross multiply
    12,665.40x = 18,998.10 × 10,205.03
  4. Step 4: Simplify right side
    12,665.40x = 193,876,085.45
  5. Step 5: Solve for x
    x = 193,876,085.45/12,665.40
  6. Step 6: Final answer
    x = 15,307.54

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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.