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Finding the Fourth Proportional to 19,419.30, 29,128.96 and 8,318.82

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Solution

The fourth proportional to 19,419.30, 29,128.96 and 8,318.82 is: 12,478.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,419.30 : 29,128.96 = 8,318.82 : x
  2. Step 2: Convert to fraction form
    19,419.30/29,128.96 = 8,318.82/x
  3. Step 3: Cross multiply
    19,419.30x = 29,128.96 × 8,318.82
  4. Step 4: Simplify right side
    19,419.30x = 242,318,575.03
  5. Step 5: Solve for x
    x = 242,318,575.03/19,419.30
  6. Step 6: Final answer
    x = 12,478.23

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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.