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Finding the Fourth Proportional to 15,922.76, 23,884.10 and 4,235.98

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Solution

The fourth proportional to 15,922.76, 23,884.10 and 4,235.98 is: 6,353.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,922.76 : 23,884.10 = 4,235.98 : x
  2. Step 2: Convert to fraction form
    15,922.76/23,884.10 = 4,235.98/x
  3. Step 3: Cross multiply
    15,922.76x = 23,884.10 × 4,235.98
  4. Step 4: Simplify right side
    15,922.76x = 101,172,450.50
  5. Step 5: Solve for x
    x = 101,172,450.50/15,922.76
  6. Step 6: Final answer
    x = 6,353.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.