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Finding the Fourth Proportional to 21,220.75, 31,830.55 and 7,180.68

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Solution

The fourth proportional to 21,220.75, 31,830.55 and 7,180.68 is: 10,770.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,220.75 : 31,830.55 = 7,180.68 : x
  2. Step 2: Convert to fraction form
    21,220.75/31,830.55 = 7,180.68/x
  3. Step 3: Cross multiply
    21,220.75x = 31,830.55 × 7,180.68
  4. Step 4: Simplify right side
    21,220.75x = 228,564,957.87
  5. Step 5: Solve for x
    x = 228,564,957.87/21,220.75
  6. Step 6: Final answer
    x = 10,770.83

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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.