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Finding the Fourth Proportional to 19,821.92, 29,706.08 and 7,330.23

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Solution

The fourth proportional to 19,821.92, 29,706.08 and 7,330.23 is: 10,985.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,821.92 : 29,706.08 = 7,330.23 : x
  2. Step 2: Convert to fraction form
    19,821.92/29,706.08 = 7,330.23/x
  3. Step 3: Cross multiply
    19,821.92x = 29,706.08 × 7,330.23
  4. Step 4: Simplify right side
    19,821.92x = 217,752,362.15
  5. Step 5: Solve for x
    x = 217,752,362.15/19,821.92
  6. Step 6: Final answer
    x = 10,985.44

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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.