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Finding the Fourth Proportional to 15,778.88, 21,771.83 and 9,491.66

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Solution

The fourth proportional to 15,778.88, 21,771.83 and 9,491.66 is: 13,096.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,778.88 : 21,771.83 = 9,491.66 : x
  2. Step 2: Convert to fraction form
    15,778.88/21,771.83 = 9,491.66/x
  3. Step 3: Cross multiply
    15,778.88x = 21,771.83 × 9,491.66
  4. Step 4: Simplify right side
    15,778.88x = 206,650,807.94
  5. Step 5: Solve for x
    x = 206,650,807.94/15,778.88
  6. Step 6: Final answer
    x = 13,096.67

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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.