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Finding the Fourth Proportional to 24,729.80, 37,078.30 and 13,641.80

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Solution

The fourth proportional to 24,729.80, 37,078.30 and 13,641.80 is: 20,453.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,729.80 : 37,078.30 = 13,641.80 : x
  2. Step 2: Convert to fraction form
    24,729.80/37,078.30 = 13,641.80/x
  3. Step 3: Cross multiply
    24,729.80x = 37,078.30 × 13,641.80
  4. Step 4: Simplify right side
    24,729.80x = 505,814,752.94
  5. Step 5: Solve for x
    x = 505,814,752.94/24,729.80
  6. Step 6: Final answer
    x = 20,453.65

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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.