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Finding the Fourth Proportional to 19,666.92, 29,482.67 and 7,178.18

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Solution

The fourth proportional to 19,666.92, 29,482.67 and 7,178.18 is: 10,760.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,666.92 : 29,482.67 = 7,178.18 : x
  2. Step 2: Convert to fraction form
    19,666.92/29,482.67 = 7,178.18/x
  3. Step 3: Cross multiply
    19,666.92x = 29,482.67 × 7,178.18
  4. Step 4: Simplify right side
    19,666.92x = 211,631,912.14
  5. Step 5: Solve for x
    x = 211,631,912.14/19,666.92
  6. Step 6: Final answer
    x = 10,760.81

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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.