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Finding the Fourth Proportional to 19,464.29, 29,197.16 and 6,811.58

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Solution

The fourth proportional to 19,464.29, 29,197.16 and 6,811.58 is: 10,217.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,464.29 : 29,197.16 = 6,811.58 : x
  2. Step 2: Convert to fraction form
    19,464.29/29,197.16 = 6,811.58/x
  3. Step 3: Cross multiply
    19,464.29x = 29,197.16 × 6,811.58
  4. Step 4: Simplify right side
    19,464.29x = 198,878,611.07
  5. Step 5: Solve for x
    x = 198,878,611.07/19,464.29
  6. Step 6: Final answer
    x = 10,217.62

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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.