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Finding the Fourth Proportional to 16,127.31, 24,200.31 and 6,766.50

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Solution

The fourth proportional to 16,127.31, 24,200.31 and 6,766.50 is: 10,153.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,127.31 : 24,200.31 = 6,766.50 : x
  2. Step 2: Convert to fraction form
    16,127.31/24,200.31 = 6,766.50/x
  3. Step 3: Cross multiply
    16,127.31x = 24,200.31 × 6,766.50
  4. Step 4: Simplify right side
    16,127.31x = 163,751,397.62
  5. Step 5: Solve for x
    x = 163,751,397.62/16,127.31
  6. Step 6: Final answer
    x = 10,153.67

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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.