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Finding the Fourth Proportional to 13,513.78, 20,239.35 and 13,046.74

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Solution

The fourth proportional to 13,513.78, 20,239.35 and 13,046.74 is: 19,539.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,513.78 : 20,239.35 = 13,046.74 : x
  2. Step 2: Convert to fraction form
    13,513.78/20,239.35 = 13,046.74/x
  3. Step 3: Cross multiply
    13,513.78x = 20,239.35 × 13,046.74
  4. Step 4: Simplify right side
    13,513.78x = 264,057,537.22
  5. Step 5: Solve for x
    x = 264,057,537.22/13,513.78
  6. Step 6: Final answer
    x = 19,539.87

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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.