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Finding the Fourth Proportional to 28,285.82, 42,412.50 and 11,657.33

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Solution

The fourth proportional to 28,285.82, 42,412.50 and 11,657.33 is: 17,479.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,285.82 : 42,412.50 = 11,657.33 : x
  2. Step 2: Convert to fraction form
    28,285.82/42,412.50 = 11,657.33/x
  3. Step 3: Cross multiply
    28,285.82x = 42,412.50 × 11,657.33
  4. Step 4: Simplify right side
    28,285.82x = 494,416,296.56
  5. Step 5: Solve for x
    x = 494,416,296.56/28,285.82
  6. Step 6: Final answer
    x = 17,479.30

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