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Finding the Fourth Proportional to 15,112.97, 20,849.20 and 10,072.28

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Solution

The fourth proportional to 15,112.97, 20,849.20 and 10,072.28 is: 13,895.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,112.97 : 20,849.20 = 10,072.28 : x
  2. Step 2: Convert to fraction form
    15,112.97/20,849.20 = 10,072.28/x
  3. Step 3: Cross multiply
    15,112.97x = 20,849.20 × 10,072.28
  4. Step 4: Simplify right side
    15,112.97x = 209,998,980.18
  5. Step 5: Solve for x
    x = 209,998,980.18/15,112.97
  6. Step 6: Final answer
    x = 13,895.28

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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.