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Finding the Fourth Proportional to 14,734.50, 20,333.64 and 8,110.50

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Solution

The fourth proportional to 14,734.50, 20,333.64 and 8,110.50 is: 11,192.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,734.50 : 20,333.64 = 8,110.50 : x
  2. Step 2: Convert to fraction form
    14,734.50/20,333.64 = 8,110.50/x
  3. Step 3: Cross multiply
    14,734.50x = 20,333.64 × 8,110.50
  4. Step 4: Simplify right side
    14,734.50x = 164,915,987.22
  5. Step 5: Solve for x
    x = 164,915,987.22/14,734.50
  6. Step 6: Final answer
    x = 11,192.51

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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.