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Finding the Fourth Proportional to 19,772.12, 29,665.02 and 12,367.77

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Solution

The fourth proportional to 19,772.12, 29,665.02 and 12,367.77 is: 18,555.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,772.12 : 29,665.02 = 12,367.77 : x
  2. Step 2: Convert to fraction form
    19,772.12/29,665.02 = 12,367.77/x
  3. Step 3: Cross multiply
    19,772.12x = 29,665.02 × 12,367.77
  4. Step 4: Simplify right side
    19,772.12x = 366,890,079.54
  5. Step 5: Solve for x
    x = 366,890,079.54/19,772.12
  6. Step 6: Final answer
    x = 18,555.93

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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.