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Finding the Fourth Proportional to 24,814.40, 37,221.60 and 9,228.80

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Solution

The fourth proportional to 24,814.40, 37,221.60 and 9,228.80 is: 13,843.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,814.40 : 37,221.60 = 9,228.80 : x
  2. Step 2: Convert to fraction form
    24,814.40/37,221.60 = 9,228.80/x
  3. Step 3: Cross multiply
    24,814.40x = 37,221.60 × 9,228.80
  4. Step 4: Simplify right side
    24,814.40x = 343,510,702.08
  5. Step 5: Solve for x
    x = 343,510,702.08/24,814.40
  6. Step 6: Final answer
    x = 13,843.20

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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.