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Finding the Fourth Proportional to 15,805.94, 23,657.46 and 11,644.30

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Solution

The fourth proportional to 15,805.94, 23,657.46 and 11,644.30 is: 17,428.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,805.94 : 23,657.46 = 11,644.30 : x
  2. Step 2: Convert to fraction form
    15,805.94/23,657.46 = 11,644.30/x
  3. Step 3: Cross multiply
    15,805.94x = 23,657.46 × 11,644.30
  4. Step 4: Simplify right side
    15,805.94x = 275,474,561.48
  5. Step 5: Solve for x
    x = 275,474,561.48/15,805.94
  6. Step 6: Final answer
    x = 17,428.55

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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.