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Finding the Fourth Proportional to 14,578.20, 20,131.74 and 9,624.60

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Solution

The fourth proportional to 14,578.20, 20,131.74 and 9,624.60 is: 13,291.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,578.20 : 20,131.74 = 9,624.60 : x
  2. Step 2: Convert to fraction form
    14,578.20/20,131.74 = 9,624.60/x
  3. Step 3: Cross multiply
    14,578.20x = 20,131.74 × 9,624.60
  4. Step 4: Simplify right side
    14,578.20x = 193,759,944.80
  5. Step 5: Solve for x
    x = 193,759,944.80/14,578.20
  6. Step 6: Final answer
    x = 13,291.07

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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.