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Finding the Fourth Proportional to 15,513.67, 21,408.92 and 8,440.09

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Solution

The fourth proportional to 15,513.67, 21,408.92 and 8,440.09 is: 11,647.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,513.67 : 21,408.92 = 8,440.09 : x
  2. Step 2: Convert to fraction form
    15,513.67/21,408.92 = 8,440.09/x
  3. Step 3: Cross multiply
    15,513.67x = 21,408.92 × 8,440.09
  4. Step 4: Simplify right side
    15,513.67x = 180,693,169.40
  5. Step 5: Solve for x
    x = 180,693,169.40/15,513.67
  6. Step 6: Final answer
    x = 11,647.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.