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Finding the Fourth Proportional to 14,629.20, 21,895.20 and 10,255.20

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Solution

The fourth proportional to 14,629.20, 21,895.20 and 10,255.20 is: 15,348.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,629.20 : 21,895.20 = 10,255.20 : x
  2. Step 2: Convert to fraction form
    14,629.20/21,895.20 = 10,255.20/x
  3. Step 3: Cross multiply
    14,629.20x = 21,895.20 × 10,255.20
  4. Step 4: Simplify right side
    14,629.20x = 224,539,655.04
  5. Step 5: Solve for x
    x = 224,539,655.04/14,629.20
  6. Step 6: Final answer
    x = 15,348.73

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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.