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Finding the Fourth Proportional to 18,876.98, 28,318.89 and 7,777.50

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Solution

The fourth proportional to 18,876.98, 28,318.89 and 7,777.50 is: 11,667.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,876.98 : 28,318.89 = 7,777.50 : x
  2. Step 2: Convert to fraction form
    18,876.98/28,318.89 = 7,777.50/x
  3. Step 3: Cross multiply
    18,876.98x = 28,318.89 × 7,777.50
  4. Step 4: Simplify right side
    18,876.98x = 220,250,166.98
  5. Step 5: Solve for x
    x = 220,250,166.98/18,876.98
  6. Step 6: Final answer
    x = 11,667.66

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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.