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Finding the Fourth Proportional to 12,176.49, 18,250.05 and 5,927.14

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Solution

The fourth proportional to 12,176.49, 18,250.05 and 5,927.14 is: 8,883.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.49 : 18,250.05 = 5,927.14 : x
  2. Step 2: Convert to fraction form
    12,176.49/18,250.05 = 5,927.14/x
  3. Step 3: Cross multiply
    12,176.49x = 18,250.05 × 5,927.14
  4. Step 4: Simplify right side
    12,176.49x = 108,170,646.40
  5. Step 5: Solve for x
    x = 108,170,646.40/12,176.49
  6. Step 6: Final answer
    x = 8,883.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.