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Finding the Fourth Proportional to 13,407.62, 18,506.38 and 8,102.84

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Solution

The fourth proportional to 13,407.62, 18,506.38 and 8,102.84 is: 11,184.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,407.62 : 18,506.38 = 8,102.84 : x
  2. Step 2: Convert to fraction form
    13,407.62/18,506.38 = 8,102.84/x
  3. Step 3: Cross multiply
    13,407.62x = 18,506.38 × 8,102.84
  4. Step 4: Simplify right side
    13,407.62x = 149,954,236.12
  5. Step 5: Solve for x
    x = 149,954,236.12/13,407.62
  6. Step 6: Final answer
    x = 11,184.25

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Why These Related Problems?

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