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Finding the Fourth Proportional to 28,611, 42,922.02 and 13,830.12

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Solution

The fourth proportional to 28,611, 42,922.02 and 13,830.12 is: 20,747.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,611 : 42,922.02 = 13,830.12 : x
  2. Step 2: Convert to fraction form
    28,611/42,922.02 = 13,830.12/x
  3. Step 3: Cross multiply
    28,611x = 42,922.02 × 13,830.12
  4. Step 4: Simplify right side
    28,611x = 593,616,687.24
  5. Step 5: Solve for x
    x = 593,616,687.24/28,611
  6. Step 6: Final answer
    x = 20,747.85

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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.