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Finding the Fourth Proportional to 14,195.11, 19,578.76 and 10,417

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Solution

The fourth proportional to 14,195.11, 19,578.76 and 10,417 is: 14,367.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,195.11 : 19,578.76 = 10,417 : x
  2. Step 2: Convert to fraction form
    14,195.11/19,578.76 = 10,417/x
  3. Step 3: Cross multiply
    14,195.11x = 19,578.76 × 10,417
  4. Step 4: Simplify right side
    14,195.11x = 203,951,942.92
  5. Step 5: Solve for x
    x = 203,951,942.92/14,195.11
  6. Step 6: Final answer
    x = 14,367.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.