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Finding the Fourth Proportional to 21,199.50, 31,813.83 and 7,348.50

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Solution

The fourth proportional to 21,199.50, 31,813.83 and 7,348.50 is: 11,027.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,199.50 : 31,813.83 = 7,348.50 : x
  2. Step 2: Convert to fraction form
    21,199.50/31,813.83 = 7,348.50/x
  3. Step 3: Cross multiply
    21,199.50x = 31,813.83 × 7,348.50
  4. Step 4: Simplify right side
    21,199.50x = 233,783,929.76
  5. Step 5: Solve for x
    x = 233,783,929.76/21,199.50
  6. Step 6: Final answer
    x = 11,027.80

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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.