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Finding the Fourth Proportional to 16,461.36, 22,717.02 and 9,744.54

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Solution

The fourth proportional to 16,461.36, 22,717.02 and 9,744.54 is: 13,447.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,461.36 : 22,717.02 = 9,744.54 : x
  2. Step 2: Convert to fraction form
    16,461.36/22,717.02 = 9,744.54/x
  3. Step 3: Cross multiply
    16,461.36x = 22,717.02 × 9,744.54
  4. Step 4: Simplify right side
    16,461.36x = 221,366,861.42
  5. Step 5: Solve for x
    x = 221,366,861.42/16,461.36
  6. Step 6: Final answer
    x = 13,447.67

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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.