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Finding the Fourth Proportional to 14,520.66, 21,763.20 and 10,338

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Solution

The fourth proportional to 14,520.66, 21,763.20 and 10,338 is: 15,494.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,520.66 : 21,763.20 = 10,338 : x
  2. Step 2: Convert to fraction form
    14,520.66/21,763.20 = 10,338/x
  3. Step 3: Cross multiply
    14,520.66x = 21,763.20 × 10,338
  4. Step 4: Simplify right side
    14,520.66x = 224,987,961.60
  5. Step 5: Solve for x
    x = 224,987,961.60/14,520.66
  6. Step 6: Final answer
    x = 15,494.33

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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.