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Finding the Fourth Proportional to 13,624.40, 20,431.80 and 4,859.60

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Solution

The fourth proportional to 13,624.40, 20,431.80 and 4,859.60 is: 7,287.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,624.40 : 20,431.80 = 4,859.60 : x
  2. Step 2: Convert to fraction form
    13,624.40/20,431.80 = 4,859.60/x
  3. Step 3: Cross multiply
    13,624.40x = 20,431.80 × 4,859.60
  4. Step 4: Simplify right side
    13,624.40x = 99,290,375.28
  5. Step 5: Solve for x
    x = 99,290,375.28/13,624.40
  6. Step 6: Final answer
    x = 7,287.69

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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.