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Finding the Fourth Proportional to 22,457.30, 33,676.17 and 6,443.30

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Solution

The fourth proportional to 22,457.30, 33,676.17 and 6,443.30 is: 9,662.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,457.30 : 33,676.17 = 6,443.30 : x
  2. Step 2: Convert to fraction form
    22,457.30/33,676.17 = 6,443.30/x
  3. Step 3: Cross multiply
    22,457.30x = 33,676.17 × 6,443.30
  4. Step 4: Simplify right side
    22,457.30x = 216,985,633.94
  5. Step 5: Solve for x
    x = 216,985,633.94/22,457.30
  6. Step 6: Final answer
    x = 9,662.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.