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Finding the Fourth Proportional to 13,443.08, 20,135.46 and 6,503

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Solution

The fourth proportional to 13,443.08, 20,135.46 and 6,503 is: 9,740.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,443.08 : 20,135.46 = 6,503 : x
  2. Step 2: Convert to fraction form
    13,443.08/20,135.46 = 6,503/x
  3. Step 3: Cross multiply
    13,443.08x = 20,135.46 × 6,503
  4. Step 4: Simplify right side
    13,443.08x = 130,940,896.38
  5. Step 5: Solve for x
    x = 130,940,896.38/13,443.08
  6. Step 6: Final answer
    x = 9,740.39

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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.