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Finding the Fourth Proportional to 13,506.84, 18,640.80 and 8,202.15

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Solution

The fourth proportional to 13,506.84, 18,640.80 and 8,202.15 is: 11,319.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,506.84 : 18,640.80 = 8,202.15 : x
  2. Step 2: Convert to fraction form
    13,506.84/18,640.80 = 8,202.15/x
  3. Step 3: Cross multiply
    13,506.84x = 18,640.80 × 8,202.15
  4. Step 4: Simplify right side
    13,506.84x = 152,894,637.72
  5. Step 5: Solve for x
    x = 152,894,637.72/13,506.84
  6. Step 6: Final answer
    x = 11,319.79

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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.