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Finding the Fourth Proportional to 28,143.88, 42,217.82 and 8,420.84

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Solution

The fourth proportional to 28,143.88, 42,217.82 and 8,420.84 is: 12,631.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,143.88 : 42,217.82 = 8,420.84 : x
  2. Step 2: Convert to fraction form
    28,143.88/42,217.82 = 8,420.84/x
  3. Step 3: Cross multiply
    28,143.88x = 42,217.82 × 8,420.84
  4. Step 4: Simplify right side
    28,143.88x = 355,509,507.37
  5. Step 5: Solve for x
    x = 355,509,507.37/28,143.88
  6. Step 6: Final answer
    x = 12,631.86

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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.