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Finding the Fourth Proportional to 19,818, 29,736.72 and 8,141.04

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Solution

The fourth proportional to 19,818, 29,736.72 and 8,141.04 is: 12,215.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,818 : 29,736.72 = 8,141.04 : x
  2. Step 2: Convert to fraction form
    19,818/29,736.72 = 8,141.04/x
  3. Step 3: Cross multiply
    19,818x = 29,736.72 × 8,141.04
  4. Step 4: Simplify right side
    19,818x = 242,087,826.99
  5. Step 5: Solve for x
    x = 242,087,826.99/19,818
  6. Step 6: Final answer
    x = 12,215.55

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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.