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Finding the Fourth Proportional to 13,166.94, 19,729.24 and 10,520.66

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Solution

The fourth proportional to 13,166.94, 19,729.24 and 10,520.66 is: 15,764.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,166.94 : 19,729.24 = 10,520.66 : x
  2. Step 2: Convert to fraction form
    13,166.94/19,729.24 = 10,520.66/x
  3. Step 3: Cross multiply
    13,166.94x = 19,729.24 × 10,520.66
  4. Step 4: Simplify right side
    13,166.94x = 207,564,626.10
  5. Step 5: Solve for x
    x = 207,564,626.10/13,166.94
  6. Step 6: Final answer
    x = 15,764.07

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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.