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Finding the Fourth Proportional to 16,814.16, 25,221.24 and 6,428.34

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Solution

The fourth proportional to 16,814.16, 25,221.24 and 6,428.34 is: 9,642.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,814.16 : 25,221.24 = 6,428.34 : x
  2. Step 2: Convert to fraction form
    16,814.16/25,221.24 = 6,428.34/x
  3. Step 3: Cross multiply
    16,814.16x = 25,221.24 × 6,428.34
  4. Step 4: Simplify right side
    16,814.16x = 162,130,705.94
  5. Step 5: Solve for x
    x = 162,130,705.94/16,814.16
  6. Step 6: Final answer
    x = 9,642.51

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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.