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Finding the Fourth Proportional to 19,446.86, 29,171.82 and 9,580.76

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Solution

The fourth proportional to 19,446.86, 29,171.82 and 9,580.76 is: 14,371.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,446.86 : 29,171.82 = 9,580.76 : x
  2. Step 2: Convert to fraction form
    19,446.86/29,171.82 = 9,580.76/x
  3. Step 3: Cross multiply
    19,446.86x = 29,171.82 × 9,580.76
  4. Step 4: Simplify right side
    19,446.86x = 279,488,205.65
  5. Step 5: Solve for x
    x = 279,488,205.65/19,446.86
  6. Step 6: Final answer
    x = 14,371.89

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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.