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Finding the Fourth Proportional to 28,882.50, 43,317.09 and 9,157.38

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Solution

The fourth proportional to 28,882.50, 43,317.09 and 9,157.38 is: 13,733.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,882.50 : 43,317.09 = 9,157.38 : x
  2. Step 2: Convert to fraction form
    28,882.50/43,317.09 = 9,157.38/x
  3. Step 3: Cross multiply
    28,882.50x = 43,317.09 × 9,157.38
  4. Step 4: Simplify right side
    28,882.50x = 396,671,053.62
  5. Step 5: Solve for x
    x = 396,671,053.62/28,882.50
  6. Step 6: Final answer
    x = 13,733.96

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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.