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Finding the Fourth Proportional to 19,461.38, 29,198.96 and 9,607.58

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Solution

The fourth proportional to 19,461.38, 29,198.96 and 9,607.58 is: 14,414.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,461.38 : 29,198.96 = 9,607.58 : x
  2. Step 2: Convert to fraction form
    19,461.38/29,198.96 = 9,607.58/x
  3. Step 3: Cross multiply
    19,461.38x = 29,198.96 × 9,607.58
  4. Step 4: Simplify right side
    19,461.38x = 280,531,150.08
  5. Step 5: Solve for x
    x = 280,531,150.08/19,461.38
  6. Step 6: Final answer
    x = 14,414.77

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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.