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Finding the Fourth Proportional to 34,814.40, 52,221.60 and 11,443.20

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Solution

The fourth proportional to 34,814.40, 52,221.60 and 11,443.20 is: 17,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,814.40 : 52,221.60 = 11,443.20 : x
  2. Step 2: Convert to fraction form
    34,814.40/52,221.60 = 11,443.20/x
  3. Step 3: Cross multiply
    34,814.40x = 52,221.60 × 11,443.20
  4. Step 4: Simplify right side
    34,814.40x = 597,582,213.12
  5. Step 5: Solve for x
    x = 597,582,213.12/34,814.40
  6. Step 6: Final answer
    x = 17,164.80

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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.