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Finding the Fourth Proportional to 13,910.76, 19,197 and 7,623

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Solution

The fourth proportional to 13,910.76, 19,197 and 7,623 is: 10,519.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,910.76 : 19,197 = 7,623 : x
  2. Step 2: Convert to fraction form
    13,910.76/19,197 = 7,623/x
  3. Step 3: Cross multiply
    13,910.76x = 19,197 × 7,623
  4. Step 4: Simplify right side
    13,910.76x = 146,338,731
  5. Step 5: Solve for x
    x = 146,338,731/13,910.76
  6. Step 6: Final answer
    x = 10,519.82

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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.