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Finding the Fourth Proportional to 19,651.83, 29,466.81 and 6,500.67

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Solution

The fourth proportional to 19,651.83, 29,466.81 and 6,500.67 is: 9,747.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,651.83 : 29,466.81 = 6,500.67 : x
  2. Step 2: Convert to fraction form
    19,651.83/29,466.81 = 6,500.67/x
  3. Step 3: Cross multiply
    19,651.83x = 29,466.81 × 6,500.67
  4. Step 4: Simplify right side
    19,651.83x = 191,554,007.76
  5. Step 5: Solve for x
    x = 191,554,007.76/19,651.83
  6. Step 6: Final answer
    x = 9,747.39

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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.