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Finding the Fourth Proportional to 13,762.26, 20,633.46 and 11,133

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Solution

The fourth proportional to 13,762.26, 20,633.46 and 11,133 is: 16,691.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.26 : 20,633.46 = 11,133 : x
  2. Step 2: Convert to fraction form
    13,762.26/20,633.46 = 11,133/x
  3. Step 3: Cross multiply
    13,762.26x = 20,633.46 × 11,133
  4. Step 4: Simplify right side
    13,762.26x = 229,712,310.18
  5. Step 5: Solve for x
    x = 229,712,310.18/13,762.26
  6. Step 6: Final answer
    x = 16,691.47

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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.