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Finding the Fourth Proportional to 15,805.09, 21,812.17 and 9,092.82

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Solution

The fourth proportional to 15,805.09, 21,812.17 and 9,092.82 is: 12,548.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,805.09 : 21,812.17 = 9,092.82 : x
  2. Step 2: Convert to fraction form
    15,805.09/21,812.17 = 9,092.82/x
  3. Step 3: Cross multiply
    15,805.09x = 21,812.17 × 9,092.82
  4. Step 4: Simplify right side
    15,805.09x = 198,334,112.89
  5. Step 5: Solve for x
    x = 198,334,112.89/15,805.09
  6. Step 6: Final answer
    x = 12,548.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.