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Finding the Fourth Proportional to 19,827.45, 29,731.32 and 7,346.97

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Solution

The fourth proportional to 19,827.45, 29,731.32 and 7,346.97 is: 11,016.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,827.45 : 29,731.32 = 7,346.97 : x
  2. Step 2: Convert to fraction form
    19,827.45/29,731.32 = 7,346.97/x
  3. Step 3: Cross multiply
    19,827.45x = 29,731.32 × 7,346.97
  4. Step 4: Simplify right side
    19,827.45x = 218,435,116.10
  5. Step 5: Solve for x
    x = 218,435,116.10/19,827.45
  6. Step 6: Final answer
    x = 11,016.80

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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.