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Finding the Fourth Proportional to 19,694.16, 29,512.05 and 11,800.92

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Solution

The fourth proportional to 19,694.16, 29,512.05 and 11,800.92 is: 17,683.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,694.16 : 29,512.05 = 11,800.92 : x
  2. Step 2: Convert to fraction form
    19,694.16/29,512.05 = 11,800.92/x
  3. Step 3: Cross multiply
    19,694.16x = 29,512.05 × 11,800.92
  4. Step 4: Simplify right side
    19,694.16x = 348,269,341.09
  5. Step 5: Solve for x
    x = 348,269,341.09/19,694.16
  6. Step 6: Final answer
    x = 17,683.89

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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.