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Finding the Fourth Proportional to 13,513.41, 20,270.11 and 9,839.02

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Solution

The fourth proportional to 13,513.41, 20,270.11 and 9,839.02 is: 14,758.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,513.41 : 20,270.11 = 9,839.02 : x
  2. Step 2: Convert to fraction form
    13,513.41/20,270.11 = 9,839.02/x
  3. Step 3: Cross multiply
    13,513.41x = 20,270.11 × 9,839.02
  4. Step 4: Simplify right side
    13,513.41x = 199,437,917.82
  5. Step 5: Solve for x
    x = 199,437,917.82/13,513.41
  6. Step 6: Final answer
    x = 14,758.52

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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.