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Finding the Fourth Proportional to 19,874.80, 29,812.20 and 11,969.20

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Solution

The fourth proportional to 19,874.80, 29,812.20 and 11,969.20 is: 17,953.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,874.80 : 29,812.20 = 11,969.20 : x
  2. Step 2: Convert to fraction form
    19,874.80/29,812.20 = 11,969.20/x
  3. Step 3: Cross multiply
    19,874.80x = 29,812.20 × 11,969.20
  4. Step 4: Simplify right side
    19,874.80x = 356,828,184.24
  5. Step 5: Solve for x
    x = 356,828,184.24/19,874.80
  6. Step 6: Final answer
    x = 17,953.80

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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.