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Finding the Fourth Proportional to 15,204.51, 20,982 and 8,490.24

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Solution

The fourth proportional to 15,204.51, 20,982 and 8,490.24 is: 11,716.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,204.51 : 20,982 = 8,490.24 : x
  2. Step 2: Convert to fraction form
    15,204.51/20,982 = 8,490.24/x
  3. Step 3: Cross multiply
    15,204.51x = 20,982 × 8,490.24
  4. Step 4: Simplify right side
    15,204.51x = 178,142,215.68
  5. Step 5: Solve for x
    x = 178,142,215.68/15,204.51
  6. Step 6: Final answer
    x = 11,716.41

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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.