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Finding the Fourth Proportional to 13,433.84, 20,124.84 and 6,513.20

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Solution

The fourth proportional to 13,433.84, 20,124.84 and 6,513.20 is: 9,757.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,433.84 : 20,124.84 = 6,513.20 : x
  2. Step 2: Convert to fraction form
    13,433.84/20,124.84 = 6,513.20/x
  3. Step 3: Cross multiply
    13,433.84x = 20,124.84 × 6,513.20
  4. Step 4: Simplify right side
    13,433.84x = 131,077,107.89
  5. Step 5: Solve for x
    x = 131,077,107.89/13,433.84
  6. Step 6: Final answer
    x = 9,757.23

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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.