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Finding the Fourth Proportional to 16,164.45, 22,301.74 and 9,789

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Solution

The fourth proportional to 16,164.45, 22,301.74 and 9,789 is: 13,505.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,164.45 : 22,301.74 = 9,789 : x
  2. Step 2: Convert to fraction form
    16,164.45/22,301.74 = 9,789/x
  3. Step 3: Cross multiply
    16,164.45x = 22,301.74 × 9,789
  4. Step 4: Simplify right side
    16,164.45x = 218,311,732.86
  5. Step 5: Solve for x
    x = 218,311,732.86/16,164.45
  6. Step 6: Final answer
    x = 13,505.67

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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.