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Finding the Fourth Proportional to 19,971.84, 29,957.77 and 6,824.34

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Solution

The fourth proportional to 19,971.84, 29,957.77 and 6,824.34 is: 10,236.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,971.84 : 29,957.77 = 6,824.34 : x
  2. Step 2: Convert to fraction form
    19,971.84/29,957.77 = 6,824.34/x
  3. Step 3: Cross multiply
    19,971.84x = 29,957.77 × 6,824.34
  4. Step 4: Simplify right side
    19,971.84x = 204,442,008.12
  5. Step 5: Solve for x
    x = 204,442,008.12/19,971.84
  6. Step 6: Final answer
    x = 10,236.51

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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.