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Finding the Fourth Proportional to 19,672.68, 29,482.74 and 7,180.96

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Solution

The fourth proportional to 19,672.68, 29,482.74 and 7,180.96 is: 10,761.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,672.68 : 29,482.74 = 7,180.96 : x
  2. Step 2: Convert to fraction form
    19,672.68/29,482.74 = 7,180.96/x
  3. Step 3: Cross multiply
    19,672.68x = 29,482.74 × 7,180.96
  4. Step 4: Simplify right side
    19,672.68x = 211,714,376.63
  5. Step 5: Solve for x
    x = 211,714,376.63/19,672.68
  6. Step 6: Final answer
    x = 10,761.85

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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.