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Finding the Fourth Proportional to 13,114.85, 18,089.19 and 12,680.96

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Solution

The fourth proportional to 13,114.85, 18,089.19 and 12,680.96 is: 17,490.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.85 : 18,089.19 = 12,680.96 : x
  2. Step 2: Convert to fraction form
    13,114.85/18,089.19 = 12,680.96/x
  3. Step 3: Cross multiply
    13,114.85x = 18,089.19 × 12,680.96
  4. Step 4: Simplify right side
    13,114.85x = 229,388,204.38
  5. Step 5: Solve for x
    x = 229,388,204.38/13,114.85
  6. Step 6: Final answer
    x = 17,490.73

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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.