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Finding the Fourth Proportional to 14,087.50, 19,440.78 and 7,800.82

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Solution

The fourth proportional to 14,087.50, 19,440.78 and 7,800.82 is: 10,765.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,087.50 : 19,440.78 = 7,800.82 : x
  2. Step 2: Convert to fraction form
    14,087.50/19,440.78 = 7,800.82/x
  3. Step 3: Cross multiply
    14,087.50x = 19,440.78 × 7,800.82
  4. Step 4: Simplify right side
    14,087.50x = 151,654,025.44
  5. Step 5: Solve for x
    x = 151,654,025.44/14,087.50
  6. Step 6: Final answer
    x = 10,765.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.