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Finding the Fourth Proportional to 13,911.41, 19,197.74 and 7,623.65

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Solution

The fourth proportional to 13,911.41, 19,197.74 and 7,623.65 is: 10,520.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911.41 : 19,197.74 = 7,623.65 : x
  2. Step 2: Convert to fraction form
    13,911.41/19,197.74 = 7,623.65/x
  3. Step 3: Cross multiply
    13,911.41x = 19,197.74 × 7,623.65
  4. Step 4: Simplify right side
    13,911.41x = 146,356,850.55
  5. Step 5: Solve for x
    x = 146,356,850.55/13,911.41
  6. Step 6: Final answer
    x = 10,520.63

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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.