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Finding the Fourth Proportional to 13,178.90, 18,186.32 and 8,072.87

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Solution

The fourth proportional to 13,178.90, 18,186.32 and 8,072.87 is: 11,140.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,178.90 : 18,186.32 = 8,072.87 : x
  2. Step 2: Convert to fraction form
    13,178.90/18,186.32 = 8,072.87/x
  3. Step 3: Cross multiply
    13,178.90x = 18,186.32 × 8,072.87
  4. Step 4: Simplify right side
    13,178.90x = 146,815,726.39
  5. Step 5: Solve for x
    x = 146,815,726.39/13,178.90
  6. Step 6: Final answer
    x = 11,140.21

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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.