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Finding the Fourth Proportional to 19,546.65, 29,312.69 and 7,855.92

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Solution

The fourth proportional to 19,546.65, 29,312.69 and 7,855.92 is: 11,780.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,546.65 : 29,312.69 = 7,855.92 : x
  2. Step 2: Convert to fraction form
    19,546.65/29,312.69 = 7,855.92/x
  3. Step 3: Cross multiply
    19,546.65x = 29,312.69 × 7,855.92
  4. Step 4: Simplify right side
    19,546.65x = 230,278,108.35
  5. Step 5: Solve for x
    x = 230,278,108.35/19,546.65
  6. Step 6: Final answer
    x = 11,780.95

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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.