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Finding the Fourth Proportional to 19,604.38, 29,410.23 and 6,457.69

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Solution

The fourth proportional to 19,604.38, 29,410.23 and 6,457.69 is: 9,687.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,604.38 : 29,410.23 = 6,457.69 : x
  2. Step 2: Convert to fraction form
    19,604.38/29,410.23 = 6,457.69/x
  3. Step 3: Cross multiply
    19,604.38x = 29,410.23 × 6,457.69
  4. Step 4: Simplify right side
    19,604.38x = 189,922,148.17
  5. Step 5: Solve for x
    x = 189,922,148.17/19,604.38
  6. Step 6: Final answer
    x = 9,687.74

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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.