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Finding the Fourth Proportional to 16,816.85, 25,216.64 and 9,032.21

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Solution

The fourth proportional to 16,816.85, 25,216.64 and 9,032.21 is: 13,543.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,816.85 : 25,216.64 = 9,032.21 : x
  2. Step 2: Convert to fraction form
    16,816.85/25,216.64 = 9,032.21/x
  3. Step 3: Cross multiply
    16,816.85x = 25,216.64 × 9,032.21
  4. Step 4: Simplify right side
    16,816.85x = 227,761,942.81
  5. Step 5: Solve for x
    x = 227,761,942.81/16,816.85
  6. Step 6: Final answer
    x = 13,543.67

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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.