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Finding the Fourth Proportional to 19,282.50, 28,912.68 and 7,589.34

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Solution

The fourth proportional to 19,282.50, 28,912.68 and 7,589.34 is: 11,379.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,282.50 : 28,912.68 = 7,589.34 : x
  2. Step 2: Convert to fraction form
    19,282.50/28,912.68 = 7,589.34/x
  3. Step 3: Cross multiply
    19,282.50x = 28,912.68 × 7,589.34
  4. Step 4: Simplify right side
    19,282.50x = 219,428,158.83
  5. Step 5: Solve for x
    x = 219,428,158.83/19,282.50
  6. Step 6: Final answer
    x = 11,379.65

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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.