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Finding the Fourth Proportional to 28,456.65, 42,684.84 and 11,816.28

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Solution

The fourth proportional to 28,456.65, 42,684.84 and 11,816.28 is: 17,724.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,456.65 : 42,684.84 = 11,816.28 : x
  2. Step 2: Convert to fraction form
    28,456.65/42,684.84 = 11,816.28/x
  3. Step 3: Cross multiply
    28,456.65x = 42,684.84 × 11,816.28
  4. Step 4: Simplify right side
    28,456.65x = 504,376,021.20
  5. Step 5: Solve for x
    x = 504,376,021.20/28,456.65
  6. Step 6: Final answer
    x = 17,724.36

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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.