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Finding the Fourth Proportional to 19,680.70, 29,538.38 and 10,327.40

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Solution

The fourth proportional to 19,680.70, 29,538.38 and 10,327.40 is: 15,500.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,680.70 : 29,538.38 = 10,327.40 : x
  2. Step 2: Convert to fraction form
    19,680.70/29,538.38 = 10,327.40/x
  3. Step 3: Cross multiply
    19,680.70x = 29,538.38 × 10,327.40
  4. Step 4: Simplify right side
    19,680.70x = 305,054,665.61
  5. Step 5: Solve for x
    x = 305,054,665.61/19,680.70
  6. Step 6: Final answer
    x = 15,500.19

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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.