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Finding the Fourth Proportional to 14,392.80, 21,589.20 and 10,419.75

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Solution

The fourth proportional to 14,392.80, 21,589.20 and 10,419.75 is: 15,629.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,392.80 : 21,589.20 = 10,419.75 : x
  2. Step 2: Convert to fraction form
    14,392.80/21,589.20 = 10,419.75/x
  3. Step 3: Cross multiply
    14,392.80x = 21,589.20 × 10,419.75
  4. Step 4: Simplify right side
    14,392.80x = 224,954,066.70
  5. Step 5: Solve for x
    x = 224,954,066.70/14,392.80
  6. Step 6: Final answer
    x = 15,629.63

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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.