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Finding the Fourth Proportional to 19,673.92, 29,504.53 and 7,823.76

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Solution

The fourth proportional to 19,673.92, 29,504.53 and 7,823.76 is: 11,733.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,673.92 : 29,504.53 = 7,823.76 : x
  2. Step 2: Convert to fraction form
    19,673.92/29,504.53 = 7,823.76/x
  3. Step 3: Cross multiply
    19,673.92x = 29,504.53 × 7,823.76
  4. Step 4: Simplify right side
    19,673.92x = 230,836,361.63
  5. Step 5: Solve for x
    x = 230,836,361.63/19,673.92
  6. Step 6: Final answer
    x = 11,733.11

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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.