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Finding the Fourth Proportional to 19,804.50, 29,705.94 and 11,478.51

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Solution

The fourth proportional to 19,804.50, 29,705.94 and 11,478.51 is: 17,217.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,804.50 : 29,705.94 = 11,478.51 : x
  2. Step 2: Convert to fraction form
    19,804.50/29,705.94 = 11,478.51/x
  3. Step 3: Cross multiply
    19,804.50x = 29,705.94 × 11,478.51
  4. Step 4: Simplify right side
    19,804.50x = 340,979,929.35
  5. Step 5: Solve for x
    x = 340,979,929.35/19,804.50
  6. Step 6: Final answer
    x = 17,217.30

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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.