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Finding the Fourth Proportional to 13,682.58, 18,880.38 and 7,714.14

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Solution

The fourth proportional to 13,682.58, 18,880.38 and 7,714.14 is: 10,644.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,682.58 : 18,880.38 = 7,714.14 : x
  2. Step 2: Convert to fraction form
    13,682.58/18,880.38 = 7,714.14/x
  3. Step 3: Cross multiply
    13,682.58x = 18,880.38 × 7,714.14
  4. Step 4: Simplify right side
    13,682.58x = 145,645,894.57
  5. Step 5: Solve for x
    x = 145,645,894.57/13,682.58
  6. Step 6: Final answer
    x = 10,644.62

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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.