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Finding the Fourth Proportional to 19,312.43, 28,974.11 and 7,469.82

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Solution

The fourth proportional to 19,312.43, 28,974.11 and 7,469.82 is: 11,206.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,312.43 : 28,974.11 = 7,469.82 : x
  2. Step 2: Convert to fraction form
    19,312.43/28,974.11 = 7,469.82/x
  3. Step 3: Cross multiply
    19,312.43x = 28,974.11 × 7,469.82
  4. Step 4: Simplify right side
    19,312.43x = 216,431,349.01
  5. Step 5: Solve for x
    x = 216,431,349.01/19,312.43
  6. Step 6: Final answer
    x = 11,206.84

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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.