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Finding the Fourth Proportional to 19,818.16, 29,731.04 and 7,972.88

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Solution

The fourth proportional to 19,818.16, 29,731.04 and 7,972.88 is: 11,960.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,818.16 : 29,731.04 = 7,972.88 : x
  2. Step 2: Convert to fraction form
    19,818.16/29,731.04 = 7,972.88/x
  3. Step 3: Cross multiply
    19,818.16x = 29,731.04 × 7,972.88
  4. Step 4: Simplify right side
    19,818.16x = 237,042,014.20
  5. Step 5: Solve for x
    x = 237,042,014.20/19,818.16
  6. Step 6: Final answer
    x = 11,960.85

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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.