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Finding the Fourth Proportional to 20,575.70, 30,845.07 and 7,424.98

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Solution

The fourth proportional to 20,575.70, 30,845.07 and 7,424.98 is: 11,130.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,575.70 : 30,845.07 = 7,424.98 : x
  2. Step 2: Convert to fraction form
    20,575.70/30,845.07 = 7,424.98/x
  3. Step 3: Cross multiply
    20,575.70x = 30,845.07 × 7,424.98
  4. Step 4: Simplify right side
    20,575.70x = 229,024,027.85
  5. Step 5: Solve for x
    x = 229,024,027.85/20,575.70
  6. Step 6: Final answer
    x = 11,130.80

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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.