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Finding the Fourth Proportional to 13,676.16, 18,881.31 and 8,968.64

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Solution

The fourth proportional to 13,676.16, 18,881.31 and 8,968.64 is: 12,382.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,676.16 : 18,881.31 = 8,968.64 : x
  2. Step 2: Convert to fraction form
    13,676.16/18,881.31 = 8,968.64/x
  3. Step 3: Cross multiply
    13,676.16x = 18,881.31 × 8,968.64
  4. Step 4: Simplify right side
    13,676.16x = 169,339,577.71
  5. Step 5: Solve for x
    x = 169,339,577.71/13,676.16
  6. Step 6: Final answer
    x = 12,382.10

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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.